SOLUTION: find the value of the expression 10C8 -------- 10C8 is the same as 10C2 10C2 = [10*9]/[1*2] = 45 ============================ Cheers, Stan H.

Algebra ->  Algebra  -> Permutations -> SOLUTION: find the value of the expression 10C8 -------- 10C8 is the same as 10C2 10C2 = [10*9]/[1*2] = 45 ============================ Cheers, Stan H.      Log On

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Question 88733: find the value of the expression 10C8
--------
10C8 is the same as 10C2
10C2 = [10*9]/[1*2] = 45
============================
Cheers,
Stan H.
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!

Start with the given formula

Plug in n=10 and r=8

Subtract 10-8 to get 2

Calculate 10! to get 3,628,800 (note: if you need help with factorials, check out this solver)

Calculate 2! to get 2

Calculate 8! to get 40,320


Multiply the values 2 and 40,320 to get 80,640

Divide 3,628,800 by 80,640 to get 45


So 10 choose 8 (where order does not matter) yields 45 unique combinations

Answer by stanbon(48545) About Me  (Show Source):
You can put this solution on YOUR website!
find the value of the expression 10C8
--------
10C8 is the same as 10C2
10C2 = [10*9]/[1*2] = 45
============================
Cheers,
Stan H.