Question

. In how many different ways can Tim, Savannah, Ian, Haley, Kaash, and
Myles line up?

2. There are 15 contestants in a boy’s cross country race. 3 ribbons will be
awarded. How many different ways could the ribbons be awarded?

3. How many different ways can the letters H D R F G T Y S be arranged?
4. There are 10 possible pizza toppings and the local pizza place. You can
have 4 toppings on a large pizza. How many combinations of pizza toppings
are possible?

5. There are 26 names in a jar. 6 names will be drawn to win a prize. How
many different combinations of names can be drawn?

6. What is the difference between a permutation and a combination?



Answers:
1. 10
2. Not sure
3. 49
4. Not sure
5. 43?

Answer 1

1. 1,2,3,4,5,6.
1,3,4,5,6,2.
1,4,5,6,2,3.
1,5,6,2,3,4.
1,6,2,3,4,5.

Answer 2

6,5,4,3,2,1.
6,4,3,2,1,5.
6,3,2,1,5,4.
6,2,1,5,4,3.
6,1,5,4,3,2.

5,4,3,2,1,6.
4,3,2,1,6,5.
3,2,1,6,5,4.
2,1,6,5,4,3.
1,6,5,4,3,2.

Answer 3

6,4,2,1,5,3.
5,3,1,6,4,2.
4,2,1,6,5,3.
3,1,6,5,4,3.
2,1,6,5,4,3.