Question

In: Statistics and Probability

Six textbooks are to be arranged on a shelf. In how many ways can they be...

Six textbooks are to be arranged on a shelf. In how many ways can they be arranged?

A) 6p4 360 ways

B) 6p3 120 ways

C) 6c6 1 way

D) 6p6 720 ways

Expert Solution

Six textbooks are to be arranged on a self.

Here we have to methods for solving this question:

We can use directly the "Permutation" formula and get the result.
We can also solve it manually.

Let's first solve using the 1st method.

Here, we are using the permutation rule because we have to find the number of ways of 6 book can be arranged.

So,

Total number of books = 6

Number of books to be arranged = 6

The formula is:

thus, different number of ways are =

-------------------------------------------------------

By manually,

let the book self be where 6 books to be arranged:

1 way to put the remaining 1 book

2 ways to put the remaining 2 books

3 ways to put the remaining 3 books

4 ways to put the remaining 4 books

5 ways to put the remaining 5 books

6 ways to put 6 books

So, number of ways are 1*2*3*4*5*6 = 720 ways.

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orchestra answered 1 year ago

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