1. In nCr, which of the following is the representation of n in the problem. In a 10-item mathematics problem solving test, how many ways can you select 5 problems to solve?
a. 0 b. 5 c. 10 d. 15
2. Which of the following problems illustrate combination?
a. A bracelet formed from 7 different colored beads b. A family of 4 sit around a table c. First three minutes in race d. Choosing 3 from four of the best dancers to join a dance competition
3. A bag contains 4 white balls, 6 yellow balls, and 5 red balls. In how many ways can 6 balls be chosen if there must be 2 balls of each color? Which of the following combination notation will best represent the problem?
a. 15C2 b. 15C6 c. 4C2 • 6C2 • 5C2 d. 4C2 + 6C2 + 5C2
4. Selecting 7 from 10 available fruits in making fruit salad.
a. Combination b. Permutation
5. Consider a standard week of 52 cards. How many different four-card hands can be formed with at most 2 queens? Which of the following combination notation will represent the problems?
a. 4C4 b. 52C1 • 52C2 • 52C3 c. 48C2 • 4C2 + 48C3 d. 4C1 + 48C4 • 4C0
