Let A be the set of primes less than 6, and B be the set of positive odd numbers less than How many different sums of the form a + b are possible, if a is in A and b is in B?
Solution
Correct Answer: Option B
A= { 2, 3, 5} and B= {1, 3, 5} . Any of the 3 numbers in A could be added to nay of the 3 numbers in B, so 9 sums could be formed. However, there could be some duplication. List the sums systematically; first add 1 to each number in A, then 3, and then 5: 3, 4, 6; 5, 6(x), 10; 7, 8, 10(x). there are 7 different sums
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