The set of whole numbers between 1 and 100 that are not divisible by 3 or 11 is {2,4,5,7,8,10,13,14,16,17,19,20,23,25,26,28,29,31,32,34,35,37,38,40,41,43,46,47,49,50,52,53,56,58,59,61,62,64,65,67,68,70,71,73,74,76,79,80,82,83,85,86,89,91,92,94,95,97,98}. So there would be 59 such numbers.