Suppose a traveler wanted to visit a museum, an art gallery, and the state capitol building. 45-minute tours are offered at each attraction hourly from 10 a. m. through 3 p. m. (6 different hours). solve the problem, disregarding travel time. in how many ways could the traveler schedule all three tours before 1 p. m.?

a. 3
b. 1
c. 6
d. 9

The number of ways in which traveler schedule all three tours before 1 p.m. .Option (C) is correct.

Further explanation:

Given:

The options are as follows,

A. 3

B. 1

C. 6

D. 9

Calculation:

The ways in which traveler schedule all three tours before 1 p.m. can be obtained as follows,

The ways are as follows,

1. Museum, State capitol, Art gallery.

2. Museum,Art gallery State capitol.

3. Art gallery, Museum,State capitol

4. Art gallery,State capitol,Museum

5. State capitol, Art gallery, Museum.

6. State capitol, Museum, Art gallery.

The number of ways in which traveler schedule all three tours before 1 p.m. . Option (C) is correct.

Option A is not correct.

Option B is not correct.

Option C is correct.

Option D is not correct.

Learn more:

1. Learn more about inverse of the function

2. Learn more about range and domain of the function

3. Learn more about profit and loss

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Permutation

Keywords: Traveler, museum, an art gallery, state capital building, 45 minutes, tours, attraction hourly, disregarding travel time, traveler schedule, all three tours, before 1 pm, visit.

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