Q. 18

# Four books, one each in Chemistry, Physics, Biology and Mathematics, are to be arranged in a shelf. In how many ways can this be done?

Given: the total number of books = 4

To find: Number of ways in which these 4 books can be arranged in a shelf

Formula used:

Number of arrangements of n things taken all at a time = P(n, n)

The total number of ways

= the number of arrangements of 4 things taken all at a time

= P(4, 4)

{ 0! = 1}

= 4 × 3 × 2 × 1

= 24

Hence, Number of ways in which these 4 books can be arranged in a shelf are 24

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