Question

You want to go to Disney World, Sea World, Islands of Adventure, Penguin Paradise, Alligator Alley, Parrot Jungle, and Montey Madness on a vacation but have to choose just four How many ways can you choose the four?

Answer 1

There are 35 different ways to choose four attractions from the seven available options when order does not matter. This is found using the combinations formula.

Step-by-step explanation:

To determine how many ways the student can choose four attractions from the seven mentioned, we use combinations since the order of the attractions chosen does not matter. The formula for combinations is given by:

C(n, k) = n! / (k! * (n - k)!)

Where:

• n is the total number of items,
• k is the number of items to choose,
• and ! denotes factorial.

In this case, n is 7 (the total number of attractions) and k is 4 (the number of attractions the student can pick). So we have:

C(7, 4) = 7! / (4! * (7 - 4)!)
= (7 * 6 * 5 * 4!) / (4! * 3 * 2 * 1)
= (7 * 6 * 5) / (3 * 2 * 1)
= 35

Therefore, there are 35 different ways to choose four attractions from the seven available options.

Answer 2

you can choose them in

`7C4=(7!)/(3!4!)=(7*6*5)/(6)=35`

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