MAT 142 Problem set

Unit: Probability

Topic: Permutations and Combinations

Directions: Solve the following problems. Please show your work and explain your reasoning.

- The Mathematics Department at Sun Tan University is sending a delegation of mathematicians

and graduate students to a conference. They will pay for 4 mathematicians and 5 graduate

students to go. If the department has 16 mathematicians and 24 graduate students, how many

different delegations are possible?

- The mathematicians at Sun Tan University have published 14 research papers this year. The

department chair wants to display them in the lobby. The display case can show 4 at a time.

How many arrangements of 4 research papers are possible?

MAT 142

Euler

**Excerpt from file: **MAT 142 Problem set Unit: Probability Topic: Permutations and Combinations Directions: Solve the following problems. Please show your work and explain your reasoning. 1. The Mathematics Department at Sun Tan University is sending a delegation of mathematicians and graduate students to a conference.

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Surround your text in `*italics*`

or `**bold**`

, to write a math equation use, for example, `$x^2+2x+1=0$`

or `$$\beta^2-1=0$$`

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