1 - Colorado Mesa University
HW #21 – Counting
1. (IN CLASS) In how many ways can 7 pieces of art be ranked from best to worst if there are no ties?
2. (ANSWER GIVEN) In how many orders can 8 errands be run?
3. (SOLUTION GIVEN) A DJ at a radio station is told to play 9 songs, in how many different orders can he play them?
4. (HOMEWORK) In how many ways can 6 runners finish a race if there are no ties?
5. (ALTERNATE HW) In how many ways can you rank 5 movies from best to worst?
6. (IN CLASS) If you were to draw a tree diagram for making or missing 40 free-throw attempts, how many paths would have exactly 6 makes?
7. (ANSWER GIVEN) If you were to draw a tree diagram from testing 25 lights to see if they are working or not, how many paths would have exactly 7 working?
8. (SOLUTION GIVEN) If you were to draw a tree diagram for checking 35 license plates at a shopping center to see if they are Colorado or not Colorado, how many paths would have exactly 27 from Colorado?
9. (HOMEWORK) If you were to draw a tree diagram for checking 50 dogs to see if they have fleas or don’t, how many paths would have exactly 7 dogs with fleas?
10. (ALTERNATE HW) If you were to draw a tree diagram for testing 48 people to if they have or don’t have a certain disease, how many paths would have exactly 6 with the disease?
11. (IN CLASS) A club has 20 members, in how many ways can they:
A) Elect a President, Vice President, Secretary and a Treasurer if no person can hold more than one office?
B) Select a committee of 4 people?
C) Pick a best-dressed, funniest, and smartest member. A person can hold more than one of these prestigious honors.
12. (ANSWER GIVEN) A Club has 40 members, in how many ways can they:
A) Elect a President and a Vice President?
B) Select a committee of 2 people?
C) Pick a coolest and most athletic member? A person can hold more than one of these prestigious honors.
13. (SOLUTION GIVEN) A Club has 50 members, in how many ways can they:
A) Elect a President, Vice President, Treasurer, Newsletter Editor and Secretary?
B) Select a committee of 5 people?
C) Pick a best dressed, most athletic, coolest, funniest, and smartest member? A person can hold more than one of these prestigious honors.
14. (HOMEWORK) A club has 22 members, in how many ways can they:
A) Elect a President, Vice President and Treasurer?
B) Select a committee of 3?
C) Pick a coolest, funniest, and smartest member? A person can hold more than one of these prestigious honors.
15. (ALTERNATE HW) A club has 25 members, in how many ways can they:
A) Elect a President, Vice President , Secretary and Treasurer?
B) Select a committee of 4?
C) Pick a best dressed, coolest, funniest, and smartest member? A person can hold more than one of these prestigious honors.
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