Permutations and Combinations, Set Theory

Question

1. Given the following sets: A ={2, 4, 6, 8 ......498, 500} . B = {1, 3, 5, 7 ......499, 501} a) are the sets equivalent?
2. An English class consists of twenty-three students, and three are to be chosen to give speeches in a school competition. In how many different ways can the teacher choose the team, given the following conditions? The order is not important

Answer 1

1. No, or to be more exact, they are not well defined, so you can't determine whether they are equal or not,

thats why we have the {x|x has property P} formulation when describing sets.

HOWEVER, if the book states to follow the pattern of the sequence, then set A will be even,

and set B will be Odds, then under that interpretation they will NOT be equal.

So put down NO as that answer.