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A bakery produces eight different kinds of pastry, one of which is eclairs. Assume there are at least twenty five pastries of each kind. Suppose the bakery has only ten eclairs but has at least twenty five of each of the other kinds of pastry. Suppose in addition to having only ten eclairs, the bakery has only eight napoleon slices. How many different selections of twenty five pastries are there

Respuesta :

MrRoyal

There are 142506 different selections of twenty-five pastries

How to determine the number of different selections?

The given parameters are:

  • Pastry, n = 6
  • Pastries to select, r = 25

The number of different selections is calculated using:

[tex]C(n + r - 1,r) = \frac{(n + r - 1)!}{r!(n - 1)!}[/tex]

The above formula is used because repetitions are allowed.

So, we have:

[tex]C(6 + 25 - 1,25) = \frac{(6 + 25 - 1)!}{25!(6 - 1)!}[/tex]

Evaluate the sum and difference

[tex]C(30,25) = \frac{30!}{25!5!}[/tex]

Evaluate the expression

C(30,25) = 142506

Hence, there are 142506 different selections of twenty-five pastries

Read more about combination at:

https://brainly.com/question/11732255

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