a) There are 7 letters, t, e, l, p, h, o, and n. We dn't want e so we have 6 letters. There are 15 ways to leave two letters out, so our answer is 15.
b) we now want 3 letters from the 6 letters. There are 20 ways to get it.
c) we want 4 letters from 7 letters. there ar 35 possibilities.