How many terms of (a1 + A2 + a3 + A4) (B1 + B2 + B3) (C1 + C2 + C3 + C4 + C5) product? Why?

How many terms of (a1 + A2 + a3 + A4) (B1 + B2 + B3) (C1 + C2 + C3 + C4 + C5) product? Why?

Every term in the polynomial of the result must be in the form of AI * BJ * ck, so it's like choosing one term from each bracket and putting it together. So there are 1C4 * 1c3 * 1c5 = 60 terms