Question

There are 5 types of toys with 2 toys of each type in how many ways can a shopkeeper arranged on shelf

Answer 1

Answer: A shopkeeper can arrange the toys on shelf in 113400 ways.

Step-by-step explanation:

There are total 10 toys of 5 types with 2 toys of each type.

To calculate the total number of ways of arrangement of 10 toys, we need to divide the arrangements by 2! five times because there are 5 types of toy with 2 toys of each type.

The number of ways of arrangements= 10!/(2!*2!*2!*2!*2!)=10!/32

Expanding the factorial notation, we get:

=> 10x9x8x7x6x5x4x3x2x1/32

=> 113400

Answer 2

if the options are-

1. 10!
2. 10!/32
3. 10!/2
4. 5!/2

then the answer will be option number 2)

i.e 10!/32