Question

Out of 8 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

Answer 1

Answer:

40320

Step-by-step explanation:

Hi,

Given, there are 8 consonants and 4 vowels,

We are required to find the number of words (with or without

meaning) using 3 consonants and 2 vowels :

3 consonants out of 8 can be selected in ⁸C₃ ways = 56

2 vowels out of 4 can be selected in ⁴C₂ ways = 6

So, in total 5 letters of word can be chosen(3 consonants and 2

vowels) in 56*6 = 336 ways

But the chosen set of 5 letter can permute among themselves in

5! ways, hence total number of words would be 336*5!

= 40320

Hope, it helps !