Question

Find the probability of forming 4 digit number using 1 2 3 4 5 6 7 8 without using any repitition

Answer 1

ans.
permutation not probability
8*7*6*5=
1680

Answer 2

Answer:

Probability of all possible 4 digit number is 1/24.

Step-by-step explanation:

Given: Digits are 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8.

To find: Probability of  all possible even number of 4 digit.

All possible 4 Digit Numbers = $^8P_8=8!=40320$

Possible 4 digit numbers  =  $^8P_4=\frac{8!}{(8-4)!}=\frac{8!}{4!}=8\times7\times6\times5=1680$

$Probabilty=\frac{Number\:of\:Favorable\:outcome}{Total\:number\:of\:outcome}$

$Probability=\frac{1680}{40320}=\frac{1}{24}$

Therefore, Probability of all possible 4 digit number is 1/24.