(a) There are European cities that Betty would eventually like to visit. On her next vacation, though, she only has time to visit of the cities: one on Monday, one on Tuesday, and one on Wednesday. She is now trying to make a schedule of which city she'll visit on which day. How many different schedules are possible

The number of different schedules possible is given by:

In which n is the number of European cities that Betty would eventually like to visit.

Step-by-step explanation:

The order in which the cities are visited is important, for example, visiting Paris on Monday and London on Tuesday is a different schedule than London on Monday and Paris on Tuesday. This means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

She wants to visit n cities on 3 days:

So the number of different schedules possible is given by:

In which n is the number of European cities that Betty would eventually like to visit.

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation:

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step-by-step explanation: