1. In how many ways could 7 songs be played from a list of 17 requests
2. If repetition is allowed, how many four-digit numbers can be formed using the digits 0, 1, 2, 3, 4, and 5? Explain your solution. [C/3]
3. 3. Express as a single term from Pascal's triangle. [C/2] a) 8C4 + 8C5 b) 16C7 - 15C6
4. 4.List the first five entries of row 12 of Pascal's triangle. [C/5] 2 Application
5. . Four marbles are drawn from a bag containing six green and five purple marbles. [A/4] What is the probability that all four marbles are purple i) if the marble is replaced after each draw? ii) if the marbles are not replaced?
6. . Find the number of ways of arranging the letters in the word DOMINATE if [A/8] a) there are no restrictions. b) the first letter must be a vowel. c) the odd numbered positions must be vowels. d) the last two letters must be T and E. Thinking
7. A committee of six people is formed to investigate connections between business and the education system. It consists of people chosen from 5 students, 8 teachers, 5 principals, 10 parents, 4 professors, and 6 business people. If the members are chosen at random, what is the probability that there is one person from each group on the committee? [T/4]
8. . Five numbers are chosen from 1 to 50. What is the probability of exactly three of them being even numbers? [T/4]
9. . Six friends go to their favorite restaurant, which has ten entrees on the menu. If the friends are equally likely to pick any of the entrees, what is the probability that at least two of them will order the same one?