SOLUTION: if six numbers are picked from 1 to 45 and if a number is not repeated.How many sets of six numbers could be picked

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Question 508054: if six numbers are picked from 1 to 45 and if a number is not repeated.How many sets of six numbers could be picked
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming order does not matter.

C(n, r) = (n!)/(r!(n-r)!)

C(45, 6) = (45!)/(6!*(45-6)!)

C(45, 6) = (45!)/(6!*39!)

C(45, 6) = (45*44*43*42*41*40*39!)/(6!*39!)

C(45, 6) = (45*44*43*42*41*40)/(6!)

C(45, 6) = (45*44*43*42*41*40)/(6*5*4*3*2*1)

C(45, 6) = (5864443200)/(720)

C(45, 6) = 8145060

So there are 8145060 different ways.