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Answered

The pizza shop down the street offers a special of a large pizza with 3 toppings. The choices of toppings

are pepperoni, sausage, ham, pineapple, cheese, onions, green peppers, hot peppers, mushrooms, and

anchovies.

How many ways can you arrange 3 toppings out of 10 toppings on a pizza?

Answer :

Answer:

120 ways

Step-by-step explanation:

To solve this question, we would be using the law of combination.

In combination, we say that

nCr = n! / (n - r)! r!, where both r and n are integers.

Now, referring to question, we are asked how many ways we can arrange 3 toppings out of 10. This means we're looking for 10C3. Applying the earlier laid out formula, we have

10C3 = 10! / (10 - 3)! 3!

10C3 = 10! / 7! 3!

10C3 = 3628800 / 5040 * 6

10C3 = 3628800 / 30240

10C3 = 120

Therefore, the toppings can be arranged in 120 ways.

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