Combinatorics Quiz

1. A team of 3 is chosen from 8 people, regardless of role. How many teams are possible?

• A. $336$
• B. $24$
• C. $512$
• D. $56$

2. In how many ways can 3 of 5 people be chosen for first, second and third place?

• A. $10$
• B. $60$
• C. $125$
• D. $120$

3. How many subsets does a 5-element set have?

• A. $32$
• B. $25$
• C. $10$
• D. $120$

4. How many positive integers less than $100$ contain the digit $3$?

• A. $18$
• B. $20$
• C. $19$
• D. $10$

5. A president and a secretary (different people) are chosen from 6 people. How many ways?

• A. $15$
• B. $30$
• C. $36$
• D. $12$