SOLUTION: Evaluate: 8C3 11 56 24 336

Question 470766: Evaluate: 8C3
11
56
24
336

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Since order does not matter, we must use the combination formula:

Start with the given formula

Plug in and

Subtract to get 5

Expand 8!

Expand 5!

Cancel

Simplify

Expand 3!

Multiply 8*7*6 to get 336

Multiply 3*2*1 to get 6

Now divide

So 8 choose 3 (where order doesn't matter) yields 56 unique combinations

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