Answer:
The manager can select a team in 61425 ways.
Step-by-step explanation:
The order in which the cashiers and the kitchen crews are selected 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 how many ways can the manager select a team?
2 cashiers from a set of 10.
4 kitchen crews from a set of 15. So

The manager can select a team in 61425 ways.
So we cant go over $250
35+20n=250
now that i put the question in an expression we can take the 35 away from both sides
35+20n=250
-35. -35
_____________
20n=215
now divide 20 by both sides to get (n) alone
20n=215
________
20
n= 10.75
we round down because we cannot exceed the limit, thus
ANSWER: 10 months