SOLUTION: the california lottery jackpot pays a player for choosing the five randomly selcted numbers from 49 possible numbers if the order of the not are not important how many different ou

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Question 1072639: the california lottery jackpot pays a player for choosing the five randomly selcted numbers from 49 possible numbers if the order of the not are not important how many different outcomes with there be?
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
49!/(5!)
= 49*48*47*46*45/5*4*3*2
simplify: divide 45 in the numerator and 5 in the denominator by 5 and you get 8/1.
Divide 48 in the numerator and 4 in the denominator by 4 and you get 12/1
Divide 46 in the numerator and 2 in the denominator by 2 and you get 23/1
Now we have:
49*12*47*23*8/1*1*3*1
One more, divide 12 and 3 by 3:
49*4*47*23*8/1*1*1*1 = 49*4*47*23*8 = 1,695,008