1. How many permutations of the letters in the name BARBARA are there? a. 210 c. 12 096 b. 2096 d. 120 960 2. How many ways can five blue pennants, four green pennants, and three red pennants be strung on a line? a. 60 c. 27 720 b. 720 d. 3 326 400 3. In how many ways could the digits 1, 2, 3, 4, 5, 6, 7, 8, 9 be arranged if the even digits must remain in the given order?

c. 9! a. d. 51x4! b. 4!4. The entries in row 3 of Pascal's triangle are a. 121 c. 13 3 1 b. 12 2 1 d. 123 1 5. There are 12 boys in a class and 8 girls . A group of 5 students is chosen. How many ways all-boy groups can be made? 6. In what row number of Pascal's triangle do the terms have a sum of 32 768? a. 14 C. 16 b. 15 d. 17 7. Three men and four women are to be selected from a group of 10 men and 12 women. In how many ways could this be done? a. 103 X 12 P4 C. 10! 12! 3! X 4! b. 10!4! d. 10 3 X12 C48. The number of subsets of a set of n elements is a. 20 - 1 C. 2" - 1 b. 2" d. n' 9. " C1 + Cat...+ . Cn = a. 20- 1 c. 2" - 1 b. 2" d. n2 10. If a cartoonist has pens with five different colours of ink, how many different combinations of colours could the cartoon have? a. 25 C. 52 b. 5 d. 25- 1 1 1. How many subsets does a set with seven different elements have? a. 27 C. 2 x 7 b. 27 - 1 d. 7! 12. From 6 people , how many ways can a committee of at least one member be chosen? 3. What is the sum of the 20th row of Pascal's triangle? 14. In how many ways can the letters of the word ALIEN be arranged so that the vowels are always together 5. In how many ways can 4 people be arranged in a line for a photograph if there are 7 people in a group to pick from