Question

Leena is arranging 3 different books in a row on a shelf. Create a sample space for the arrangement of a detective story (D), a mystery story (M), and a comic book (C).

Answer 1

SOLUTION

So we have detective story book represented as D

Mystery story book represented as M

And Comic book represented as C.

So, she can arrange it as follows

D C M

C D M

M C D

C M D

M D C and

D M C

So, the sample space is 6 ways

Or you can say

$3!=3\times2\times1=6ways.$

Therefore, the answer is 6 ways