Let P and Q be two nonempty sets of real numbers. Define the set M = P + q = {a + B | a ∈ P, B ∈ Q}. If P = {0,2,5}, q = {1,2,6}, what is the number of subsets of M

Let P and Q be two nonempty sets of real numbers. Define the set M = P + q = {a + B | a ∈ P, B ∈ Q}. If P = {0,2,5}, q = {1,2,6}, what is the number of subsets of M

M=P+Q ={ 1,2,6,3,4,8,6,7,11}
= { 1,2,3,4,6,7,8,11 }
The number of subsets of M = 2 ^ 8 = 256#