Answer the questions below. (If necessary, consult a list of formulas.) (a) There are 12 European cities that Jim would eventually like to visit. On his next vacation, though, he only has time to visit 3 of the cities: one on Monday, one on Tuesday, and one on Wednesday. He is now trying to make a schedule of which city he'll visit on which day. How many different schedules are possible? (Assume that he will not visit a city more than once.) ☐ (b) To log on to a certain computer account, the user must type in a 4-letter password. In such a password, no letter may be repeated, and only the lower case of a letter may be used. How many such 4-letter passwords are possible? (There are 26 letters in the alphabet.) ☐

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CT: Chapter Test
Problem 5CT: A commuter must travel from Ajax to Barrie and back every day. Four roads join the two cities. The...
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Answer the questions below.
(If necessary, consult a list of formulas.)
(a) There are 12 European cities that Jim would eventually like to visit. On his next vacation,
though, he only has time to visit 3 of the cities: one on Monday, one on Tuesday, and one on
Wednesday. He is now trying to make a schedule of which city he'll visit on which day. How many
different schedules are possible? (Assume that he will not visit a city more than once.)
☐
(b) To log on to a certain computer account, the user must type in a 4-letter password. In such a
password, no letter may be repeated, and only the lower case of a letter may be used. How many
such 4-letter passwords are possible? (There are 26 letters in the alphabet.)
☐
Transcribed Image Text:Answer the questions below. (If necessary, consult a list of formulas.) (a) There are 12 European cities that Jim would eventually like to visit. On his next vacation, though, he only has time to visit 3 of the cities: one on Monday, one on Tuesday, and one on Wednesday. He is now trying to make a schedule of which city he'll visit on which day. How many different schedules are possible? (Assume that he will not visit a city more than once.) ☐ (b) To log on to a certain computer account, the user must type in a 4-letter password. In such a password, no letter may be repeated, and only the lower case of a letter may be used. How many such 4-letter passwords are possible? (There are 26 letters in the alphabet.) ☐
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