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kozerog [31]
2 years ago
11

Anita plans to give her husband 3 shirts for his birthday. She narrows the search to 3 shirts from a selection of 17 shirts at D

illon's Store or 3 from a selection of 20 shirts at The Men's Shop. In how many ways can she select the shirts
Mathematics
1 answer:
Lunna [17]2 years ago
5 0

Using the combination formula, it is found that she can select the shirts in 775,200 ways.

The order in which the shirt are chosen is not important, hence, the <em>combination formula</em> is used to solve this question.

Combination formula:

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

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

In this problem:

  • 3 shirts from a set of 17.
  • Then, 3 shirts from a set of 20.
  • They are independent, hence, to find the total, we multiply both combinations.

T = C_{17,3} \times C_{20,3} = \frac{17!}{3!14!} \times \frac{20!}{3!17!} = 680 \times 1140 = 775200

She can select the shirts in 775,200 ways.

To learn more about the combination formula, you can check brainly.com/question/25821700

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