contestada

Mrs. Welch and her 5 children are shopping at a local grocery store. Each of the children will be allowed to select one box of cereal for their own from the
11 different boxes of cereal available​ (there are no two the​ same). In how many ways can the selections be​ made?

Respuesta :

bhuvna789456

The selections be​ made in 462 ways.

Step-by-step explanation:

  • The number of different boxes = 11 boxes.
  • The number of children = 5 children.
  • Given that, no two boxes are same.

The number ways the boxes can be selected = 11 ! ways

⇒ 11! = 11× 10× 9× 8× 7× 6× 5× 4× 3× 2× 1

The number of ways the 5 children can choose = 5 ! ways

⇒ 5! = 5× 4× 3× 2× 1

The ways that the selection can be made = (5 ways from 11!) / 5!

⇒ 5 ways from 11! = 11× 10× 9× 8× 7

  • 1st children = 11 selections
  • 2nd children = 10 selections
  • 3 rd children = 9 selections
  • 4 th children = 8 selections
  • 5 th children = 7 selections

The selection can be made = (11× 10× 9× 8× 7) / (5× 4× 3× 2× 1 )

⇒ 55440 / 120

⇒ 462