how many words of 1;2;3 letters can be made from the letters in CART

1 letter - 4 (c, a, r, t)

2 letters - 6 (ca, cr, ct, ar, at, rt)
3 letters - 4 (car, crt, art, cat)
TOTAL = 14 words

Note: The total number of subsets of the word "CART" are 16, including the 4-letter word and an empty set.