Question

On saturdays, elliott practises the piano, walks his dog, does his homework, and cleans his room. use an organized list to show all the possible orders in which elliott can do these tasks.

Answer 1

The possible orders in which Elliott can do these tasks is 24

What is Permutation ?

Permutation is defined as the number of ways r number of objects can be arranged in total n number of objects.

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

As Elliot have 4 tasks to do practices the piano (A), walks his dog(B), does his homework(C), and cleans his room(D)

4 Task can be done in 4! ways = 4 * 3 * 2 * 1 = 24 ways

ABCD ABDC

ACBD  ACDB

ADBC ADCB

This is for when Elliot does piano first (A)and then walks his dog(B), does his homework(C), and cleans his room(D) .

Similarly for other 3 works , total 24 possible orders can be followed.

To know more about Permutation

brainly.com/question/1216161

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