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How many 4 digit numbers can be formed from the digits 2, 3, 5, 7 which are divisible by 5 and none of the digits is repeated?

How many 4 digit numbers can be formed from the digits 2, 3, 5, 7 which are divisible by 5 and none of the digits is repeated? Correct Answer 6

Given,

Number should be divisible by 5.

The unit digit is must be 5 so it filled by single number.

Tens place digit can be filled by 3 numbers.

Hundredth place digit can be filled by 2 numbers.

Thousand place digit can be filled by any one number.

Number of required 4 digit numbers =

= 1 × 3 × 2 × 1 = 6

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