Permutations and Combinations Questions

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This test contains a total of 7 multiple choice questions, and each multiple choice question features 5 possible answers. (Someone guessing all "a's." for example, would have a string of multiple choice answers that reads "aaaaaaa.") How many total strings of multiple choice answers are possible for our test? (a) 7⁵ (b) 5! (c) (7/5) (d) 5⁷ (e) 1+2⁷ +3⁷ +4⁷ +5⁷

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At a high school cafeteria, diners can choose one vegetable from a choice of 5 vegetables, one meat from a choice of 2 meats, one serving of bread from among 2 breads, and a dessert from among 3 desserts. How many meal configurations are possible? a) 20 b)4 c)60 d)12 d)12

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A box contains three cards. On one card there is a triangle (T), on another card there is a sun (S), and on the third card there is a question mark (Q). Two cards are to be selected at random with replacement. Complete parts (a) through (e) below. a) Determine the number of sample points in the sample space.

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Find the probability for the experiment of drawing two marbles (without replacement) from a bag containing 3 green, 5 yellow, and 2 red marbles such that both marbles are yellow. (A) 6/7 (B) 1/3 (C) 2/9 (D) 1/8 (E) 1/4

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A box contains three cards. On one card there is a triangle (T), on another card there is a sun (S), and on the third card there is a question mark (Q). Two cards are to be selected at random with replacement. Complete parts (a) through (e) below. a) Determine the number of sample points in the sample space. There are ▢ points in the sample space.

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A box contains three cards. On one card there is a triangle (T), on another card there is a sun (S), and on the third card there is a question mark (Q). Two cards are to be selected at random with replacement Complete parts (a) through (e) below.

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All Harold's ties are red except for two. All Harold's ties are blue except for two. All Harold's ties are brown except for two. How many ties does Harold have? Harold has ▢ red tie(s), ▢ blue tie(s), and ▢ brown tie(s).

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A combination lock will open when the right choice of three numbers (from 1 to 35) is selected. How many different lock combinations are possible? ○ 128,625 ○ 42,875 ○ 1225 ○ 35 ○ 105

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There are 14 members of the scholastic bowl team, 8 of whom are boys and 6 of whom are girls. The coach wants to play 3 boys and 1 girl in the next round. How many different teams of 3 boys and 1 girl could be formed to play the next round?

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How many different possible outcomes are there if you flip eight coins?

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Ms. Bell's mathematics class consists of 13 sophomores, 6 juniors, and 11 seniors. How many different ways can Ms. Bell create a 5-member committee of seniors if each senior has an equal chance of being selected?

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7 junior high classes will be chosen to participate in a school activities survey. There are 22 junior high classes in the school. In how many ways can the classes be chosen? Answer How to enter your answer (opens in new window) Keypad Keyboard Shortcuts