Question

A person going to a party was asked to bring 4 different bags of chips. Going to the store, she finds 13 varieties.

How many different selections can she make?
(this is a probability question)

Answer 1

Answer:

Step-by-step explanation:

13!/4(13-4)!

13!/4(9)!

Continue simplifying.

The formula for combinations n!/r!(n-r)! pay attention to class next time

Answer 2

"715" are the different selections she can make.

Given:

Number of different begs,

• 4

Total number of varieties,

• 13

So,

Total number of different selection = ¹³C₄

= $\frac{13!}{4!\times (13-4)!}$

= $\frac{13!}{(4!\times 9!)}$

= $\frac{13\times 12\times 11\times 10}{4\times 3\times 2}$

= $\frac{17160}{24}$

= $715$

Thus the above answer is correct.

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