3.7 Practice Problems

3.7 Practice Problems

<p>Name: ______Period:______</p><p>3.7 Practice Problems</p><p>1.) Decide whether the following are permutation or combination:</p><p> a. The number of ways 15 people can line up in a row for concert tickets.</p><p> b. The ways a Captain and Co-Captain can be picked.</p><p> c. Two people being questioned about a car accident when 20 people saw the wreck.</p><p>2.) Fifteen cyclists enter a race. In how many ways can they finish the race?</p><p>3.) A magazine editor must choose 4 short stories for this month’s issue from 17 submissions. In how many ways can the editor choose this month’s stories?</p><p>4.) An employer must hire 2 people from a list of 13 applicants. In how many ways can the employer choose to hire 2 people?</p><p>5.) Find the probability of spelling the word STATISTICS correctly? </p><p>6.) We have 25 calculators in the room. Five of them are on low batteries. You pick three calculators. What is the probability you will pick 3 with low batteries? 7.) From a pool of 15 candidates, the offices of president, vice-president, secretary, and treasurer will be filled. What is the probability of guessing the correct people for all the positions?</p><p>8.) A warehouse employs 24 workers on first shift and 17 workers on second shift. Eight workers are chosen at random to be interviewed about the work environment. Find the probability of choosing:</p><p> a. All first shift workers</p><p> b. Six first-shift workers </p><p> c. Four first-shift workers and 4 second-shift workers</p><p>9.) A group of three men and three women have bought six seats in a row for the Trans Siberian performance.</p><p> a. In how many ways can they be seated?</p><p> b. If they are seated at random, what is the probability the men and women alternate? c. If they are seated at random, what is the probability that the men sit together and the women sit together?</p>

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