2. (a) How many integers n with 1 <>

2. (a) How many integers n with I n 2000 are divisible by none of 2, 5 and 11? (If you use any result from the course about sizes Of sets in your answer, then you must also include a clear statement of the result you use and clear definitions of the sets that you are applying it to.) (b) 75 people each choose an anagram Of the word EXAM". Prove that there must exist four people who all choose the same anagram. (c) Let X and Y = How many surjections f: X +1' are there?