The Perry family is selecting a furniture set. A furniture set has a bed and a dresser. There are 3 beds and 2 dressers to select from. How many different furniture sets could they select?

Respuesta :

The number of different sets to be selected is 3

What is combination?

Combination can be defined as the number of possible ways arrangement with no or little considerations for the order.

The formula for combination is expressed as;

C( n, r)= (n)!/ ( n - r)! r!

Where

  • n is the distinct number to select from
  • r is the selected number

C( 3, 2)= 3!/(3 - 2)!2!

Find the difference

C(3, 2) = 3!/1!2!

This can be written as;

C(3, 2) = 3× 2 × 1/1 × 2 × 1

Multiply through

C(3, 2) = 6/2

C(3,2) = 3

The number of different sets that could be selected from is 3

Hence, the number of different sets to be selected is 3

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