Combinations

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1. At a restaurant, customers can select 3 toppings for their salad. Each topping must be different. The customers can select from mushrooms, carrots, sprouts, cucumber, bacon bits, and croutons. How many different ways could a customer top their salad?
A. 2
B. 18
C. 20
D. 720


2. As a freshman in high school, a student is given two electives. The student can choose from art, band, choir, computer applications, wood shop, auto shop, and drama. How many different ways could a student choose their electives?
A. 14
B. 21
C. 35
D. 42


3. How many different groups of four students can be formed if you have 36 students in your class?
A. 68
B. 144
C. 1,152
D. 58,905


4. You need three dancers for your show. How many different groups of 3 can be formed if 18 dancers try out?
A. 816
B. 54
C. 1,632
D. 2,916