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  4. A four digit number of distinct digits is formed by using the digits 2,3,4,5,6,7,8. The number of such numbers which are divisible by 25 , is

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Q. A four digit number of distinct digits is formed by using the digits $2,3,4,5,6,7,8$. The number of such numbers which are divisible by 25 , is

Permutations and Combinations

Solution:

The number will be divisible by 25 if it ends in 25 or 75. Therefore, the required number of numbers is
$\left({ }^5 P_2\right)(2)=40$