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At the grocery store, Victor has narrowed down his selections to 88 vegetables, 66 fruits, 66 cheeses, and 77 whole grain breads. He wants to use the Express Lane, so he can only buy 1515 items. In how many ways can he choose which 1515 items to buy if he wants all 88 vegetables?

Respuesta :

Answer: There are 50388 ways to choose.

Step-by-step explanation:

Since we have given that

Number of vegetables = 8

Number of fruits = 6

Number of cheeses = 6

Number of whole grain breads = 7

Number of items he buys = 15

We need to find the number of ways he wants all 8 vegetables.

So, it becomes,

[tex]^8C_8\times ^{19}C_7\\\\=1\times 50388\\\\=50388[/tex]

Hence, there are 50388 ways to choose.