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Question bank: Combinations

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Question 1:

Medium

Combinations
Question 2:

Medium

Maria is an event organizer and is planning a themed party where guests must choose between dressing up as pirates or as fairy tale characters. Men have the option of 4 different pirate costumes and 3 fairy tale character costumes, while women have 5 different pirate costumes and 6 fairy tale character costumes. (a) How many total different costume options do men have to choose from? (b) How many total different costume options do women have to choose from? (c) If 10 men and 15 women attend the party, how many different costumes can be present at the event?
Combinations
Question 3:

Medium

Imagine you are organizing a meeting with your friends to watch a movie marathon. There are 10 movies to choose from, but you only have time to watch 4 of them. (a) How many different combinations of movies can you choose for the marathon? (b) If you want to watch the movies in a specific order, how many order possibilities will there be for the 4 chosen movies? (c) Now, suppose two of your friends insist on watching a specific movie. How many different combinations can you create with the other 3 chosen movies?
Combinations
Question 4:

Medium

Combinations
Question 5:

Medium

Combinations
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