Problema Solution
A lottery requires players to select 6 different numbers from 1-53. How many sets of 6 numbers can be chosen? Show calculation of combinational quantity.
Answer provided by our tutors
6-combinations of a set of 53 elements:
C(53, 6) = 53!/(6!(53 - 6)!)
C(53, 6) = 53!/(6!47!)
C(53, 6) = (48*49*50*51*52*53)/(2*3*4*5*6)
C(53, 6) = 8*49*10*17*26*53
C(53, 6) = 91,829,920 sets can be chosen