solve using PERMUTATION  Suppose that there are seven runners in a race. The winner receives a gold medal, the second place finisher receives a silver medal, and the third place finisher receives a bronze medal. How many ways are there to award these medals, if all possible outcomes of the race can occur and there are no ties?   Castel and Joe are planning trips to three countries this year. There are 5 countries they would like to visit. One trip will be one week-long; another is two days, and the other two will be two weeks. Determine the number of possible trips they can have.     In a Mathematics class with 30 students, the teacher needs 2 different students to present the solutions to problems no. 3 and 5 on the board. In how many ways can the teacher assign the problems?        5 actors and 8 actresses are available for a play which requires 3 male roles and 4 female roles. Solve for the number of different possible cast lists.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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solve using PERMUTATION

 Suppose that there are seven runners in a race. The winner receives a gold
medal, the second place finisher receives a silver medal, and the third place
finisher receives a bronze medal. How many ways are there to award these
medals, if all possible outcomes of the race can occur and there are no ties?

 

Castel and Joe are planning trips to three countries this year. There are 5
countries they would like to visit. One trip will be one week-long; another is two
days, and the other two will be two weeks. Determine the number of possible
trips they can have.

 

 

In a Mathematics class with 30 students, the teacher needs 2 different
students to present the solutions to problems no. 3 and 5 on the board. In how
many ways can the teacher assign the problems?

 

 

 

 5 actors and 8 actresses are available for a play which requires 3 male roles
and 4 female roles. Solve for the number of different possible cast lists.

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