Consider all pairs of counting numbers whose sum is less than 11 The two members of a pair could be either the same as each other or different How many products are possible if the two are multiplied?

Answer 1

To find the number of products possible when considering all pairs of counting numbers whose sum is less than 11, we first list out the pairs: (1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (1,7), (1,8), (1,9), (1,10), (2,2), (2,3), (2,4), (2,5), (2,6), (2,7), (2,8), (2,9), (3,3), (3,4), (3,5), (3,6), (3,7), (3,8), (4,4), (4,5), (4,6), (4,7), (5,5), (5,6). There are 29 pairs in total. When multiplied, these pairs result in 29 unique products.

Answer 2

Answer is 41