|
General Knowledge, Quizzes, IQ Tests A zone where General Knowledge related to this exam can be shared.Surveys and Threads with polls and questions that require answers can be Posted here |
Share Thread: Facebook Twitter Google+ |
|
LinkBack | Thread Tools | Search this Thread |
#1
|
||||
|
||||
Why 0! is always equal to 1?
why 0! is always equal to 1 ??
|
The Following User Says Thank You to huda1 For This Useful Post: | ||
Almaas Ruby (Thursday, August 05, 2010) |
#2
|
||||
|
||||
If n! is defined as the product of all positive integers from 1 to n, then:
1! = 1*1 = 1 2! = 1*2 = 2 3! = 1*2*3 = 6 4! = 1*2*3*4 = 24 5! = 1*2*3*4*5=120 Hence: n! = 1*2*3*...*(n-2)*(n-1)*n and so on. In this way n! can also be expressed as n*(n-1)! . Therefore, at n=1, using n! = n*(n-1)! 1! = 1*0! Resultantly, 1 = 0! Or: n! = n*(n-1)! n!/n = (n-1)! If n=1 Then: 1!/1 = (1-1)! 1*1/1 = (0)! 1/1 = 0! 1=0!
__________________
"Tumhary nafs ki qeemat Janat hay isy Janat say kam qeemat pey na bechna." "Jiyo to istarh ky log tum sy milny ko tarsy; maro to istrah k log tumharee mot par royain" Last edited by Raz; Wednesday, August 04, 2010 at 10:52 PM. |
The Following 3 Users Say Thank You to Raz For This Useful Post: | ||
Almaas Ruby (Thursday, August 05, 2010), irshadsod (Thursday, August 19, 2010), navera88 (Saturday, August 21, 2010) |
#3
|
|||
|
|||
Factorial of a number is the product of all the positive integers below that integer to be asked...
that n ! = n(n-1)(n-2)......... we have 0! = 1 since zero is neither positive nor negative ... hence we always take 0!=1 ... there are other proves in books but in those they put 1!= 1 .though 1! itself depends on 0! .. that is 1!= 1(1-1)! = 0! = 1 |
The Following 2 Users Say Thank You to abrowaqas For This Useful Post: | ||
Almaas Ruby (Thursday, August 05, 2010), huda1 (Wednesday, August 04, 2010) |
|
|
Similar Threads | ||||
Thread | Thread Starter | Forum | Replies | Last Post |
G.K objectives for all | terminator | Topics and Notes | 18 | Friday, January 21, 2022 01:35 AM |
Constitution of the United States | Muhammad Adnan | General Knowledge, Quizzes, IQ Tests | 3 | Saturday, February 01, 2020 02:25 AM |
Islamic point of view regarding ‘women are equal to men’! | CSS_Aspirant | Essays | 6 | Wednesday, April 14, 2010 01:40 PM |
The Status of Woman in Islam | Mairaj Shar | Islamiat Notes | 0 | Sunday, August 16, 2009 11:14 AM |