Find the probability that a four digit number comprising the digits 2,5,6 and 7 would be divisible by 4
Correct Answer is 1/3
Please Explain how ?
(Using Permutation & Combination)
Answers
Given : a four digit number comprising the digits 2,5,6 and 7 would be divisible by 4
To Find : probability
Solution:
A number is divisible by 4 if last two digits are divisible by 4
number comprising the digits 2,5,6 and 7
Assuming no repetition of digit
possible numbers = ⁴P₄ = 4! = 24
Numbers ending with 52 , 72 , 56 , 76 are divisible by 4 ( 4 ways)
remaining 2 digit in each case can be arranged in 2 ways
Hence total number divisible by 4
= 2 * 4
= 8
Probability that a four digit number comprising the digits 2,5,6 and 7 would be divisible by 4 = 8/24
= 1/3
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