Question

permutations 2.4 statistics answers A clothing store has a certain shirt in 4 sizes: small, medium, large, and extra large. If it has 2 small, 3 medium, 6 large, and 2 extra large in stock, in how many orders can it sell all the shirts?

Answer 1

Answer: 360,360

Explanation:

The number of permutations of n things of which a are identical, b are identical and so on... :-

`(n!)/(a!\ b!....)`

Given : A clothing store has a certain shirt in 4 sizes: small, medium, large, and extra large.

If it has 2 small, 3 medium, 6 large, and 2 extra large in stock, then total shirts :
`2+3+6+2=13`

Then, the number of orders in which the store can sell all the t-shirts will be :_

`(13!)/(2!3!6!2!)\\\\=(13*12*11*10*9*8*7*6!)/(2*3*2*6!*2)\\\\=360360`

Hence, the number of orders in which the store can sell all the t-shirts = 360,360