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
Select the correct option:
A
36
B
48
C
60
D
72
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
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.
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