She has 9 unique action figures,but only 5 fit in her bag. How many different groups of 5 action figures can she take?

Question

Combinations

Answer 1

Since she is placing them in a bag, the order doesn't matter, so this is a combinations problem.  Therefore, the answer is

 

₉C₅ 

 

Calculate this.

 

₉C₅ = 9!/(5!(9-5)!)

 

       = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 / (5 x 4 x 3 x 2 x 1 x 4 x 3 x 2 x 1)

 

A bunch of cancellations occur.  Can you take it from here?

 

Regards,

 

Jake