Discrete Structures Exercise 5: Probability and Combinatorics, Assignments of Mathematics

Solutions to exercise 5 of discrete structures 2, which covers topics such as probability calculations, unordered selections, and combinations. Students will find answers to questions about the minimum number of students of the same age in a class, finding all unordered selections of four elements from a set, and calculating combinations using given formulas.

Typology: Assignments

2018/2019

Uploaded on 04/12/2022

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Discrete Structures 2
Exercise 5
Answer the following.
1. A certain college class has 40 students. All the students in the class are known to be from 17 through
34 years of age. You want to make a bet that the class contains at least x students of the same age.
How large can you make x and yet be sure to win your bet?
2. List all unordered selections of four elements from the set {a, b, c, d, e}. Deduce the value of (5).
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Discrete Structures 2 Exercise 5 Answer the following.

  1. A certain college class has 40 students. All the students in the class are known to be from 17 through 34 years of age. You want to make a bet that the class contains at least x students of the same age. How large can you make x and yet be sure to win your bet?
  2. List all unordered selections of four elements from the set {a, b, c, d, e}. Deduce the value of ( ). 4
  1. Use the formula to compute each of the following. 6 6 a. ( ) e. ( ) 0 4 6 6 b. ( ) f. ( ) 0 5 6 6 c. ( ) g. ( ) 0 6 6 d. ( ) 3
  2. A computer programming team has 13 members. a. How many ways can a group of seven be chosen to work on a project? b. Suppose two team members refuse to work together on projects. How many groups of seven can be chosen to work on a project?