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Question bank: Combinations

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Question 1:

Easy

In a room there are 6 students. In how many ways can we form a group of 3 students?
Combinations
Question 2:

Medium

Combinations
Question 3:

Medium

How many different ways are there to wear a t-shirt, a pair of pants, and a pair of shoes, choosing one of the three available options for each item?
Combinations
Question 4:

Medium

When buying a snack at a cafeteria, the student can choose between three types of bread and four types of fillings. In how many different ways can he assemble his snack?
Combinations
Question 5:

Medium

In a school, a group of 10 students from the 8th grade is organizing a study trip. They need to choose 3 representatives to present a project to the board. Among the interested students, there are 6 boys and 4 girls. To ensure diversity, the board has established that the group of representatives must include at least one boy and one girl. How many combinations of distinct representatives can be formed following this criterion?
Combinations
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