JEE MAIN - Mathematics (2022 - 28th June Morning Shift - No. 3)
The total number of 5-digit numbers, formed by using the digits 1, 2, 3, 5, 6, 7 without repetition, which are multiple of 6, is :
36
48
60
72
Explanation
To make a no. divisible by 3 we can use the digits
1,2,5,6,7 or 1,2,3,5,7.
Using 1,2,5,6,7, number of even numbers is = 4 × 3 × 2 × 1 × 2 = 48
Using 1,2,3,5,7, number of even numbers is = 4 × 3 × 2 × 1 × 1 = 24
Required answer is 72.
Using 1,2,5,6,7, number of even numbers is = 4 × 3 × 2 × 1 × 2 = 48
Using 1,2,3,5,7, number of even numbers is = 4 × 3 × 2 × 1 × 1 = 24
Required answer is 72.
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