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SHSAT Math · Statistics & Probability
Combinatorics Practice Quiz
Counting principles, permutations, and combinations. Answer all 10 questions below, then submit to see your score and an explanation for each question. Free, no account needed. This topic quiz helps you practice the skills used on the computer-based SHSAT.
Question 1 of 10
How many different four-digit passwords can be created using the digits 0–9 if repetition is allowed and the first digit may be 0?
Question 2 of 10
How many ways can you choose 5 students from a class of 13 students?
Question 3 of 10
A restaurant menu offers appetizers and entrees. How many different two-course meals can be ordered?
Question 4 of 10
A store sells T-shirts in 4 colors, 3 sizes, and 2 styles (V-neck or crew). How many different T-shirt options are available?
Question 5 of 10
A password must be 4 characters: first 2 are letters (A–Z, no repeat), last 2 are digits (0–9, no repeat). How many passwords are possible?
Question 6 of 10
From a group of 6 students, how many different groups of 4 can be selected for a project?
Question 7 of 10
A restaurant menu has 5 appetizers, 7 main courses, and 3 desserts. How many different meals with one appetizer, one main course, and one dessert are possible?
Question 8 of 10
A coach needs to choose a captain and a co-captain from a team of 10 players. How many different ways can this be done?
Question 9 of 10
A locker combination consists of 3 digits, each from 0 to 9. Digits may be repeated. How many different combinations are possible?
Question 10 of 10
In how many ways can the letters of the word CAT be arranged?
0 of 10 answered
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