Answer: 360,360
Step-by-step explanation:
The number of permutations of n things of which a are identical, b are identical and so on... :-
[tex]\dfrac{n!}{a!\ b!....}[/tex]
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 : [tex]2+3+6+2=13[/tex]
Then, the number of orders in which the store can sell all the t-shirts will be :_
[tex]\dfrac{13!}{2!3!6!2!}\\\\=\dfrac{13\times12\times11\times10\times9\times8\times7\times6!}{2\times3\times2\times6!\times2}\\\\=360360[/tex]
Hence, the number of orders in which the store can sell all the t-shirts = 360,360
