In how many ways can we choose 3 distinct letters of the alphabet, without regard to order, if we must choose 1 vowel (A, E, I, O, or U) and 2 consonants?
Here we go....my stab at it....
5 ways to choose a vowel a e i o u
times 21c2
5 x 21c2 = 5 x 210 = 1050 ways