Verified Solution • 2025–26 Session
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QJEEM22Maca11: JEE Main 2022 Mathematics - Class 11 JEEM22Maca11 Solution: The total number of 5-digit numbers, formed by using the digits …
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 :
Multiple Choice Options
- A 36
- B 48
- C 60
- D 72
Step-by-Step Verified 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.
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.