Question

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

Answer 1

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 =

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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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