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scZoUnD [109]
3 years ago
5

As part of a quality-control program, 4 batteries from a box of 17 is chosen at random for testing. In how many ways can this te

st batch be chosen?
Mathematics
1 answer:
belka [17]3 years ago
5 0

Answer:

This test batch can be chosen in 2380 ways

Step-by-step explanation:

The order in which the batteries are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In how many ways can this test batch be chosen?

4 batteries from a set of 17. So

C_{17,4} = \frac{17!}{4!(17-4)!} = 2380

This test batch can be chosen in 2380 ways

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