Question

How many different ways can five dolls be arranged? 13 12 120 150

Answer 1

We are given

total number of dolls =5

and there are five spaces only to be arranged in

In first space:

Any five dolls can be put in

so, number of ways of putting dolls in first space is 5

In Second space:

One doll is already put in first space

so, only four dolls can be put in

so, number of ways of putting dolls in second space is 4

In Third space:

One doll is already put in second space

so, only three dolls can be put in

so, number of ways of putting dolls in third space is 3

In Fourth space:

One doll is already put in third space

so, only two dolls can be put in

so, number of ways of putting dolls in fourth space is 2

In Fifth space:

One doll is already put in fourth space

so, only one dolls can be put in

so, number of ways of putting dolls in fifth space is 1

so, total number of ways five dolls can be arranged

$=5*4*3*2*1$

$=120$.................Answer