Answered

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You have 12 books and you want to put 8 on a shelf in your room. Order does not matter to you. How many ways can you put 8 books on the shelf?
a. 495 ways
b. 19,958,400 ways

Sagot :

izzystokes506

Answer:

I took the Quiz and got 19,958,400 ways wrong from the previous answer the real answer is 496 ways

Step-by-step explanation:

View image izzystokes506

The number of different ways that you can put 8 books on the shelf will be 495.

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.

Then the combination is given as,

⇒ ⁿCₐ

Where n is total sample and a is the selected sample from n.

You have 12 books, and you want to put 8 on a shelf in your room.

Order does not matter to you.

Then the number of different ways that you can put 8 books on the shelf will be

⇒ ¹²C₈

⇒ 12! / [(12 – 8)! x 8!]

⇒ 12 x 11 x 10 x 9 x 8! / (4 x 3 x 2 x 1 x 8!)

⇒ 11 x 5 x 9

⇒ 495

Thus, the number of different ways that you can put 8 books on the shelf will be 495.

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

https://brainly.com/question/11732255

#SPJ5

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