Screenshot from a textbook question

1 a; b; c; d

2 a; b

3 a; b

4

5 a; b; c; d

6 a; b; c

7 a; b

9 a; b

1. Evaluate each of the following. List any calculations that require a calculator. (4 K) 25 25 52 b) 12 c) d) 2. Use Pascal's triangle to rewrite each of the following as a single combination. (4 K)\f\f5. A student fundraising committee has 12 members, including 7 from grade 12. In how many ways can a 4-member subcommittee for commencement awards be formed if a) there are no restrictions? ( 2 T) b) the subcommittee must be all grade-12students? (2 T) c) the subcommittee must have 2 students from grade 12 and 2 from other grades? (2 T) d) the subcommittee must have no more than 3 grade-12 students? (3 T)6. A track club has 20 members. a) In how many ways can the club choose 3 members to help officiate at a meet? (1 C) b) In how many ways can the club choose a starter, a marshal, and a timer? (1 C) c) Should your answers to parts a) and b) be the same? Explain why or why not. (3 C)9. A restaurant offers an all-you-can-eat Chinese buffet with the following items: (group1) - egg roll, wonton soup (group2) - chicken wings, chicken balls, beef (group3) - steamed rice, fried rice, chow mein (group4) - chop suey, mixed vegetables, a) How many different combinations of items could you have? (3 A) b) The restaurant also has a lunch special with your choice of upto one item from each group. How many choices do you have with this special? (3 A)