Mark the correct alternative in the following: Total number of words formed by 2 vowels and 3 consonants taken from 4 vowels and 5 consonants is equal to

Question

Philoid · Accepted Answer

2 out of 4 vowels can be chosen in ⁴C₂ ways.

3 out of 5 consonants can be chosen in ⁵C₃ ways.

Thus, there are (⁴C₂⁵C₃) groups, each containing 2 vowels and 3 consonants.

Each group contains 5 letters that can be arranged in 5! Ways.

Required number of words =

(⁴C₂⁵C₃) 5!

= 60 120

= 7200

Mark the correct alternative in the following:Total number of words formed by 2 vowels and 3 consonants taken from 4 vowels and 5 consonants is equal to

Mark the correct alternative in the following:
Total number of words formed by 2 vowels and 3 consonants taken from 4 vowels and 5 consonants is equal to