find the number of combinations of 10 objects taken 5 at a time?

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2007-08-23 14:36:31 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

252.

Use the formula for combinations. Select n objects from x items. The formula would be x!/n!(x-n)!. So we have 10!/(5! * 5!) = 252.

2007-08-23 14:40:38 · answer #1 · answered by SoulDawg 4 UGA 6 · 1⤊ 0⤋

k objects from n objects is given by

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

10! / 5!(10-5)! = 252

2007-08-23 21:43:45 · answer #2 · answered by FIESTA 3 · 0⤊ 0⤋

10 choose 5. Use the formula

M choose N = M!/(N!(M-N)!)

10!/(5!5!) = (10*9*8*7*6)/(5*4*3*2)

2007-08-23 21:41:17 · answer #3 · answered by Anonymous · 0⤊ 0⤋

The answer is

(10C5) = 10! / [(5!)(5!)] = 252

2007-08-23 21:40:41 · answer #4 · answered by Northstar 7 · 0⤊ 0⤋

252 ?

2007-08-23 21:42:41 · answer #5 · answered by Anonymous · 0⤊ 0⤋