SOLUTION: An arcade has 20 different arcade games. You want to play at least 14 of them. How many different combinations of arcade games can you play?

Question 599773: An arcade has 20 different arcade games. You want to play at least 14 of them. How many different combinations of arcade games can you play?
Found 3 solutions by edjones, stanbon, rjimenez:
Answer by edjones(8007)   (Show Source): You can put this solution on YOUR website!
Combination=nCr=n!/((n-r)!r!)
=20!/((20-14)!*14!)
=38760 combinations.
.
Ed
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
An arcade has 20 different arcade games. You want to play at least 14 of them. How many different combinations of arcade games can you play?
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Ans: 20C14 = 20C6 = (20*19*18*17*16*15)/(1*2*3*4*5*6) = 39760
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Cheers,
Stan H.

Answer by rjimenez(1)   (Show Source): You can put this solution on YOUR website!
At least means you can play 14 or 15 or 16 or 17 or 18 or 19 or 20 games so you need to add the combinations 20C14 + 20C15 + 20C16 + 20C17 + 20C18 + 20C19 + 20C20 = 60,460
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