SOLUTION: 5^C2 + 5^C1

Question 251519: 5^C2 + 5^C1
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given formula

Plug in and

Subtract to get 3

Expand 5!

Expand 3!

Cancel

Simplify

Expand 2!

Multiply 5*4 to get 20

Multiply 2*1 to get 2

Now divide

So 5 choose 2 (where order doesn't matter) yields 10 unique combinations

---------------------------------------------------------------------------

Start with the given formula

Plug in and

Subtract to get 4

Expand 5!

Expand 4!

Cancel

Simplify

Expand 1!

Multiply 5 to get 5

Multiply 1 to get 1

Now divide

So 5 choose 1 (where order doesn't matter) yields 5 unique combinations

Since

and

, this means

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