In how many ways 5 vowels & 6 consonants can be selected from 26 letters of alphabet?

(Q). In how many ways 5 vowels & 6 consonants can be selected from 26 letters of alphabet?
Solution:-

vowels = a, e, i, o, u ⟹ total 5
∴ 5 vowels can be selected only 1 way
& 6 consonants can be selected from 21 consonants in ²¹C₆ ways
Hence total number of ways = 1ײ¹C₆ = ²¹C₆  Answer