Question

Let a be the number of positive multiples of 6 less than 30. Let b be the number of positive integers less than 30 that are a multiple of 3 and a multiple of 2. Compute (a - b)^3.

Answer 1

number positive multiples of 6 less than 30 =|{6,12,18,24}| = 4

number positive multiples of 2 AND 3 less than 30 =|{6,12,18,24}| = 4

(a-b)^3 = (4-4)^3 =0^3 = 0