an employee of a grocery store is placing an order for soda. there are 8 varieties of soda and they are sold in cases. each case contains all the same variety of soda. the store will order 50 cases total. how many ways are there to place the order

There are 536,878,650 ways to place the order.

Step-by-step explanation:

The order in which the cases are put is not important. So we use the combinations formula to solve this question.

Combinations formula:

is the number of different combinations of x objects from a set of n elements, given by the following formula.

In this question:

8 varieties from a set of 50. So

There are 536,878,650 ways to place the order.

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in mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. there are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. the set of candidate solutions that satisfy all constraints is called the feasible set.

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