what is the factorial of hundred : अगर आप FACTORIAL को हिंदी में समझना चाहते हो तो सिंपल आप ये ध्यान दे की जिस भी संख्या का Factorial पूछा गया हो उस संख्या से निचे आप नंबर वाइज गुना करते जाओ | जैसे की 5 का factorial पुछा गया है तो आप इसको इस तरह से सोल्व करोगे | 5! = 5 * 4 * 3 * 2 * 1 =120 . ये इतना आसान है | और एक बात का ध्यान रखे Factorial zero is defined as equal to 1.
किसी संख्या का भाज्य वह फलन है जो संख्या को उसके नीचे प्रत्येक प्राकृतिक संख्या से गुणा करता है। प्रतीकात्मक रूप से, भाज्य को “!” के रूप में दर्शाया जा सकता है। तो, n फ़ैक्टोरियल पहली n प्राकृतिक संख्याओं का गुणनफल है और इसे n के रूप में दर्शाया जाता है! ( The factorial of a number is the function that multiplies the number by every natural number below it. Symbolically, factorial can be represented as “!”. So, n factorial is the product of the first n natural numbers and is represented as n!)
| n | n! | ||
| 1 | 1 | 1 | 1 |
| 2 | 2 × 1 | = 2 × 1! | = 2 |
| 3 | 3 × 2 × 1 | = 3 × 2! | = 6 |
| 4 | 4 × 3 × 2 × 1 | = 4 × 3! | = 24 |
| 5 | 5 × 4 × 3 × 2 × 1 | = 5 × 4! | = 120 |
Formula for n Factorial
The formula for n factorial is
n!=n×(n−1)!n!=n×(n−1)!
n!=n×(n−1)!
इसका मतलब है कि किसी भी संख्या का Factorial , दी गई संख्या से पिछली संख्या के Factorial से गुणा किया जाता है। जैसे 10! = 10 * 9! and 9! = 9 * 8!
मुझे आशा है आपको समझ आ चूका होगा | ये बहुत आसान है | हमने निचे 100 तक टेबल दिया है आप देख सकते हो |
Hindi Name Of Month | हिंदी-इंग्लिश में महीनों के नाम जाने
FACTORIAL TABLE 1 TO 100
| 1! = 1 |
| 2! = 2 |
| 3! = 6 |
| 4! = 24 |
| 5! = 120 |
| 6! = 720 |
| 7! = 5040 |
| 8! = 40320 |
| 9! = 362880 |
| 10! = 3628800 |
| 11! = 39916800 |
| 12! = 479001600 |
| 13! = 6227020800 |
| 14! = 87178291200 |
| 15! = 1307674368000 |
| 16! = 20922789888000 |
| 17! = 355687428096000 |
| 18! = 6402373705728000 |
| 19! = 121645100408832000 |
| 20! = 2432902008176640000 |
| 21! = 51090942171709440000 |
| 22! = 1124000727777607680000 |
| 23! = 25852016738884976640000 |
| 24! = 620448401733239439360000 |
| 25! = 15511210043330985984000000 |
| 26! = 403291461126605635584000000 |
| 27! = 10888869450418352160768000000 |
| 28! = 304888344611713860501504000000 |
| 29! = 8841761993739701954543616000000 |
| 30! = 265252859812191058636308480000000 |
| 31! = 8222838654177922817725562880000000 |
| 32! = 263130836933693530167218012160000000 |
| 33! = 8683317618811886495518194401280000000 |
| 34! = 295232799039604140847618609643520000000 |
| 35! = 10333147966386144929666651337523200000000 |
| 36! = 371993326789901217467999448150835200000000 |
| 37! = 13763753091226345046315979581580902400000000 |
| 38! = 523022617466601111760007224100074291200000000 |
| 39! = 20397882081197443358640281739902897356800000000 |
| 40! = 815915283247897734345611269596115894272000000000 |
| 41! = 33452526613163807108170062053440751665152000000000 |
| 42! = 1405006117752879898543142606244511569936384000000000 |
| 43! = 60415263063373835637355132068513997507264512000000000 |
| 44! = 2658271574788448768043625811014615890319638528000000000 |
| 45! = 119622220865480194561963161495657715064383733760000000000 |
| 46! = 5502622159812088949850305428800254892961651752960000000000 |
| 47! = 258623241511168180642964355153611979969197632389120000000000 |
| 48! = 12413915592536072670862289047373375038521486354677760000000000 |
| 49! = 608281864034267560872252163321295376887552831379210240000000000 |
| 50! = 30414093201713378043612608166064768844377641568960512000000000000 |
| 51! = 1551118753287382280224243016469303211063259720016986112000000000000 |
| 52! = 80658175170943878571660636856403766975289505440883277824000000000000 |
| 53! = 4274883284060025564298013753389399649690343788366813724672000000000000 |
| 54! = 230843697339241380472092742683027581083278564571807941132288000000000000 |
| 55! = 12696403353658275925965100847566516959580321051449436762275840000000000000 |
| 56! = 710998587804863451854045647463724949736497978881168458687447040000000000000 |
| 57! = 40526919504877216755680601905432322134980384796226602145184481280000000000000 |
| 58! = 2350561331282878571829474910515074683828862318181142924420699914240000000000000 |
| 59! = 138683118545689835737939019720389406345902876772687432540821294940160000000000000 |
| 60! = 8320987112741390144276341183223364380754172606361245952449277696409600000000000000 |
| 61! = 507580213877224798800856812176625227226004528988036003099405939480985600000000000000 |
| 62! = 31469973260387937525653122354950764088012280797258232192163168247821107200000000000000 |
| 63! = 1982608315404440064116146708361898137544773690227268628106279599612729753600000000000000 |
| 64! = 126886932185884164103433389335161480802865516174545192198801894375214704230400000000000000 |
| 65! = 8247650592082470666723170306785496252186258551345437492922123134388955774976000000000000000 |
| 66! = 544344939077443064003729240247842752644293064388798874532860126869671081148416000000000000000 |
| 67! = 36471110918188685288249859096605464427167635314049524593701628500267962436943872000000000000000 |
| 68! = 2480035542436830599600990418569171581047399201355367672371710738018221445712183296000000000000000 |
| 69! = 171122452428141311372468338881272839092270544893520369393648040923257279754140647424000000000000000 |
| 70! = 11978571669969891796072783721689098736458938142546425857555362864628009582789845319680000000000000000 |
| 71! = 850478588567862317521167644239926010288584608120796235886430763388588680378079017697280000000000000000 |
| 72! = 61234458376886086861524070385274672740778091784697328983823014963978384987221689274204160000000000000000 |
| 73! = 4470115461512684340891257138125051110076800700282905015819080092370422104067183317016903680000000000000000 |
| 74! = 330788544151938641225953028221253782145683251820934971170611926835411235700971565459250872320000000000000000 |
| 75! = 24809140811395398091946477116594033660926243886570122837795894512655842677572867409443815424000000000000000000 |
| 76! = 1885494701666050254987932260861146558230394535379329335672487982961844043495537923117729972224000000000000000000 |
| 77! = 145183092028285869634070784086308284983740379224208358846781574688061991349156420080065207861248000000000000000000 |
| 78! = 11324281178206297831457521158732046228731749579488251990048962825668835325234200766245086213177344000000000000000000 |
| 79! = 894618213078297528685144171539831652069808216779571907213868063227837990693501860533361810841010176000000000000000000 |
| 80! = 71569457046263802294811533723186532165584657342365752577109445058227039255480148842668944867280814080000000000000000000 |
| 81! = 5797126020747367985879734231578109105412357244731625958745865049716390179693892056256184534249745940480000000000000000000 |
| 82! = 475364333701284174842138206989404946643813294067993328617160934076743994734899148613007131808479167119360000000000000000000 |
| 83! = 39455239697206586511897471180120610571436503407643446275224357528369751562996629334879591940103770870906880000000000000000000 |
| 84! = 3314240134565353266999387579130131288000666286242049487118846032383059131291716864129885722968716753156177920000000000000000000 |
| 85! = 281710411438055027694947944226061159480056634330574206405101912752560026159795933451040286452340924018275123200000000000000000000 |
| 86! = 24227095383672732381765523203441259715284870552429381750838764496720162249742450276789464634901319465571660595200000000000000000000 |
| 87! = 2107757298379527717213600518699389595229783738061356212322972511214654115727593174080683423236414793504734471782400000000000000000000 |
| 88! = 185482642257398439114796845645546284380220968949399346684421580986889562184028199319100141244804501828416633516851200000000000000000000 |
| 89! = 16507955160908461081216919262453619309839666236496541854913520707833171034378509739399912570787600662729080382999756800000000000000000000 |
| 90! = 1485715964481761497309522733620825737885569961284688766942216863704985393094065876545992131370884059645617234469978112000000000000000000000 |
| 91! = 135200152767840296255166568759495142147586866476906677791741734597153670771559994765685283954750449427751168336768008192000000000000000000000 |
| 92! = 12438414054641307255475324325873553077577991715875414356840239582938137710983519518443046123837041347353107486982656753664000000000000000000000 td> |
| 93! = 1156772507081641574759205162306240436214753229576413535186142281213246807121467315215203289516844845303838996289387078090752000000000000000000000 |
| 94! = 108736615665674308027365285256786601004186803580182872307497374434045199869417927630229109214583415458560865651202385340530688000000000000000000000 |
| 95! = 10329978488239059262599702099394727095397746340117372869212250571234293987594703124871765375385424468563282236864226607350415360000000000000000000000 |
| 96! = 991677934870949689209571401541893801158183648651267795444376054838492222809091499987689476037000748982075094738965754305639874560000000000000000000000 |
| 97! = 96192759682482119853328425949563698712343813919172976158104477319333745612481875498805879175589072651261284189679678167647067832320000000000000000000000 |
| 98! = 9426890448883247745626185743057242473809693764078951663494238777294707070023223798882976159207729119823605850588608460429412647567360000000000000000000000 |
| 99! = 933262154439441526816992388562667004907159682643816214685929638952175999932299156089414639761565182862536979208272237582511852109168640000000000000000000000 |
| 100! = 9.33262154439441e+157 |
what is the factorial of hundred
Use of Factorial
EXAMPAL :
10 लोगों के समूह में $200, $100 और $50 के पुरस्कार दिए जाने हैं। पुरस्कार कितने तरीकों से वितरित किए जा सकते हैं?
Solution: यह क्रमपरिवर्तन है क्योंकि यहां आदेश मायने रखता है। इसकी गणना इस प्रकार की जा सकती है
10P3 मतलब १० पुरस्कार 3 लोंगो में बाँट रहें है |
10P3 = १०! / ( १० – 3 )! = 10 / 7!
10 * 9 * 8 * 7! / 7! = 720
720 तरीको से हम पुरस्कार बाँट सकते हैं | इसी तरह हम FACTORAIL की हेल्प से कई प्रश्न आसान से निकाल सकते हैं |
Example 2 : In how many ways can eight people line up from left to right for a group photo?
Solution: Number of ways 8 people line up
= 8!
= 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 40,320
Therefore, Eight people can line up in 40,320 ways.
what is the factorial of 100
00! = 9.33262154439441e+157
factorial of 1000
1000! = 1000 * 999!
factorial of 20
20*19! = 2432902008176640000
factorial of 9
9*8*7*6*5*4*3*2*1 = 362880
what is 0!
1
factorial of 5!
5! = 5*4*3*2*1 = 120
13 factorial
6227020800
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निष्कर्ष । Conclusion
आशा करते है कि आपको हमारे द्वारा दी गई जानकारी आपको हमारी यह पोस्ट what is the factorial of hundred । FACTORIAL IN HINDI जरूर पसंद आयी होगी और आपके सभी सवालों का भी जवाब मिल गया होगा। अगर आपको हमारी इस पोस्ट से सम्बंधित कोई भी सवाल है तो आप हमे कमेंट करके जरूर बताये और जानकारी पसंद आई हो तो इसे अपने दोस्तों और परिवार संग के साथ संग शेयर जरूर करें।