Suppose you are ordering a calzone from D.P. Dough. You want 6 distinct toppings, chosen from their list of 10 vegetarian toppings. a. How many choices do you have for your calzone? b. How many choices do you have for your calzone if you refuse to have green pepper as one of your toppings? c. How many choices do you have for your calzone if you insist on having green pepper as one of your toppings?

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Q: Suppose you are ordering a calzone from D.P. Dough. You want 6 distinct toppings, chosen from their…

A: Since we want 6 distinct toppings chosen from a list of 8 vegetarian toppings, this is a combination…

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A: Use formula of combination, selecting n objects from m can be expressed as: Cnm=m!n!(m-n)!

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Q: 2. In how many ways can 6 people: a. be arranged in a row? b. if only three of them are chosen?

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A: Number of combinations in choosing r things out of n things = nCr  nCr = n!r!n-r!

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