dianaw
contestada

Omar is packing his bags for his vacation. He has 9 unique shirts, but only 5 fit in his bag.
How many different groups of 5 shirts can he take?

Respuesta :

Answer:

126

Step-by-step explanation:

This is a problem of combination in which we have to select 5 things(shirts) out of 9 things(shirts).

This can be done by [tex]^9c_{5}[/tex] which is calculated by

[tex]9!/5!*(9-5)![/tex]

=> [tex]9*8*7*6*5!/5!*4![/tex]

=>9*8*7*6/4*3*2*1= 126

Therefore omar can take 126 different groups of 5 shirts with him.