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Regan has collected 12 T-shirts and 16 buttons from her favorite band. She wants to combine them into identical sets to sell, with no pieces left over. What is the greatest number of sets Regan can make?

Respuesta :

The greatest number of sets Regan can make is 2000

What is combination?

Combination can be defined as the number of possible arrangement of an object without consideration of its order.

The formula for combination is expressed as;

Combination = n!/(n - r)! r!

Where;

  • n is the number of objects
  • r is the number of selected objects

From the information given;

n = 16

r = 12

Substitute into the formula;

C(16, 12) = 16!/(16- 12)!12!

C( 16, 12) = 16!/4!12)

C(16, 12) = 2× 10 ^13/1. 0 × 10^10

Divide through

C( 16, 12) = 2000

The greatest number of sets is 2000

Thus, the greatest number of sets Regan can make is 2000

Learn more about combination here:

https://brainly.com/question/4658834

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