How many words of 2 distinct vowels and 3 distinct consonants can be made using the English Alphabet?
my approach was
C 5 2 * C 21 3 / C 26 5
PLz correct me I am wrong
I got the following
We have a 5 letter word
We need to pick 3 out of 21 consonants and 2 out of 5 vowels
So we have slot method _ _ _ _ _
So it boils down to 5C3 (21*20*19) (5*4*3)
5 ways of arranging the 3 consonants and two vowels * We have 21 options for the first consonant, 20 for the second, 19 for the third since they have to be different and same for vowels
Is this approach correct?
Let me know will you?