# How many 3-digit numbers are there, with distinct digits, with each digit odd?

1
by AjayBose

2014-07-03T16:04:38+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
You must have a idea of permutations to do this sum
the odd numbers are 1,3,5,7,9
1)So putting  1 at hundreds place s the remaining tens and units place can be filled by two numbers from 6 numbers in ⁴P₂ ways = 4 × 3 =  12 ways
2)So putting  3 at hundreds place s the remaining tens and units place can be filled by two numbers from 6 numbers in ⁴P₂ ways = 4 × 3 =  12 ways
3)So putting  5 at hundreds place s the remaining tens and units place can be filled by two numbers from 6 numbers in ⁴P₂ ways = 4 × 3 =  12 ways
4)So putting  7 at hundreds place s the remaining tens and units place can be filled by two numbers from 6 numbers in ⁴P₂ ways = 4 × 3 =  12 ways
5)So putting  9 at hundreds place s the remaining tens and units place can be filled by two numbers from 6 numbers in ⁴P₂ ways = 4 × 3 =  12 ways
so adding 12 +12 +12 +12 +12 = 60 ways
hope it hlps