A, B, C, D and E go on a holiday by car. (a) In how many different ways can they choose the seats in the car, if there are any five seats? Order matters. (b) Suppose a car has three back seats. In how many different ways do they can the people sitting in the back seats choose? The order doesn't matter. (c) A has promised to act as a car driver. In how many different ways can the rest of the people choose the seats in the car, if the car has seven seats (in addition to the driver's seat)?

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A: Given : A girl has 7 skirts, 5 blouses, and 7 pairs of shoes.

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A: Solution: Given information: Number of ties = 4 Number of shirts = 7 Number of pairs of pants = 6

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A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

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A: Given, Total toppings = 21 different toppings Total sauce      = 3 different sauce Total cheese    =…

Q: Juan has 4 ties, 7 shirts, and 6 pairs of pants. How many different outfits can he wear if he…

A: We have given that  Juan has 4 ties, 7 shirts and 6 pairs of pants.

Q: In a certain class, 20 students do not like Spider-Man nor Dark Knight. In the same class, 74…

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A: Pair of shoes women want is 5. Pair of red shoes is 6. Pair of white shoes is 4. Pair of black shoes…

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

Q: 1. Tina's music library has 91 rock songs and 54 pop songs. She is putting together a playlist of 25…

A: Please see the below picture for detailed solution.

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Q: 1. Nadya is taking her daughter to adopt a pet from the local animal shelter. They have 50 dogs and…

A: 1. Nadya is taking her daughter to adopt a pet from the local animal shelter. They have 50 dogs and…

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A: we have to find no.of ways .

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Q: 1. Suppose you work at a music store and have four CDs you wish to arrange from left to right on a…

A: For n different item, there are n! ways to arrange them,  Here we have four CDs we wish to arrange…