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A book club offers a choice of 8 books from a list of 40. In how many ways can a member make a collection?

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The model of car you are thinking of purchasing is available in nine different colors, three different styles and two sizes of motor. How many ways can you order the car?

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How many ways can you line up your eight trophies that you've won over the years on a shelf in your room?

A disc jockey has to choose three songs for the last few minutes of his evening show. If there are nine songs that he feels are appropriate for that time slot, then how many ways can he choose and arrange to play three of those nine songs?

Robin has five different pairs of shoes that match with 6 different pairs of socks. How many shoes-and-socks combinations can she make if she selects one pair of shoes and one pair of socks?

An election ballot asks voters to select three city commissioners from a group of six candidates. In how many ways can this be done?

4 letters are chosen at random from the word RANDOMLY. In how many ways can this selection be made?

The ski club with ten members is to choose three officers for captain, co-captain and secretary. How many ways can those offices be filled?

ONOMATOPIA. Find the number of arrangements if all letters must be used.

Jim draws 4 cards from a deck of cards. What is the probability of all 4 cards being the same suit?

Rhea has 10 basketballs, each of a different colour. She only has time to shoot 5 hoops before going to bed. How many different arrangements can the balls be thrown into the hoops?

In the word PRESENTATION there are 12 letters. You have to choose 7 of these for some reason. How many different words can you make?

A telephone number in a single area code is composed of 7 digits from 0 to 9. Determine the amount of phone numbers available in the 856 area code if the first digit cannot be 0 or 1.