Ellen has five different jobs to be done. She assigns all five jobs to her four kids. Each kid will have at least one job. How many ways can Ellen assign the jobs?

Respuesta :

Kid-A    A1,A2,A3,A4,A5
Kid-B    B1,B2,B3,B4,B5
Kid-C   C1,C2,C3,C4,C5
Kid-D   D1,D2,D3,D4,D5
Ellen      E1,E2,E3,E4,E5

The number of the different ways Ellen can assign the jobs will be 120.

What are permutation and combination?

A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.

Ellen has five different jobs to be done.

She assigns all five jobs to her four kids.

Each kid will have at least one job.

Then the number of the different ways Ellen can assign the jobs will be

⇒ 5!

Apply the property of the factorial, then the value of the expression will be

⇒ 5 x 4 x 3 x 2 x 1

Simplify the expression, then the value of the numerical expression will be

⇒ 120

The number of the different ways Ellen can assign the jobs will be 120.

More about the permutation and the combination link is given below.

https://brainly.com/question/11732255

#SPJ2