1. How many different paths will spell the word CASH using the diagram below?

C

A A

S S S

H H H H

2. Express 15 x 14 x13 in a different manner.

3. Determine the number of ways that four objects can be chosen from a group of ten.

4. The expression 6!8! 14! is equivalent to... _

5. The expression (7/2) is equivalent to

6. Draw Pascal's Triangle up to row "6" and include the following:

a) Demonstrate a quick way to find the sum of each row (and find the sums).

b) Circle and label the "Triangular Numbers". c) Identify the value in the position: t5,2

7. Evaluate the following expression: 4! + P(7,2) - C(5,3)

8. How many arrangements can be made using all letters in ANAGRAM?

9. Prime Minister Harper has 5 green gum balls, 7 yellow gum balls, 2 red gum balls and 6 blue gum balls. How many ways can he have some gum balls?

11. A coffee shop sells caf mocha, lattes and cappuccinos. A survey of the employees shows: 30 can make caf mocha 17 can make both caf mocha and cappuccino 16 can make lattes 5 can make both lattes and cappuccino 25 can make cappuccinos 3 can make all three 12 can make both caf mocha and lattes

a). Illustrate the above using a Venn diagram.

b). How many employees were surveyed?

c). How many employees can make only cappuccinos?