Respuesta :
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:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In how many ways can this test batch be chosen?
4 batteries from a set of 17. So
[tex]C_{17,4} = \frac{17!}{4!(17-4)!} = 2380[/tex]
This test batch can be chosen in 2380 ways
The number of ways can this test batch be chosen is 2380 ways.
Calculation of the number of ways:
Since As part of a quality-control program, 4 batteries from a box of 17 is chosen at random for testing.
Here we used the combination
So,
[tex]= \frac{17!}{4!(17-4)}\\\\ = \frac{17!}{4!\times 13!}\\\\ = \frac{17\times 16\times 15\times 14\times 13!}{4!\times 13!}[/tex]
= 2380 ways
Therefore, The number of ways can this test batch be chosen is 2380 ways.
Learn more about ways here: https://brainly.com/question/6669465
