Question

Question 5 As of September 2014, there were 53 democrats, 45 republicans, and 2 independents for a total of 100 politicians in the US Senate. Suppose a committee is to be formed with exactly 8 senators. How many ways could you form the committee with exactly 3 democrats and 5 republicans? 100P8 53C3 + 45C5 + 2C0 53P3 + 45P5 + 2P0 53P3 * 45P5 * 2P0 100C8 53C3 * 45C5 * 2C0

          Question 5

As of September 2014, there were 53 democrats, 45 republicans, and 2 independents for a total of 100 politicians in the US Senate. Suppose a committee is to be formed with exactly 8 senators. How many ways could you form the committee with exactly 3 democrats and 5 republicans?

100P8
53C3 + 45C5 + 2C0
53P3 + 45P5 + 2P0
53P3 * 45P5 * 2P0
100C8
53C3 * 45C5 * 2C0

Question 5

As of September 2014, there were 53 democrats, 45 republicans, and 2 independents for a total of 100 politicians in the US Senate. Suppose a committee is to be formed with exactly 8 senators. How many ways could you form the committee with exactly 3 democrats and 5 republicans?

100P8
53C3 + 45C5 + 2C0
53P3 + 45P5 + 2P0
53P3 * 45P5 * 2P0
100C8
53C3 * 45C5 * 2C0

Added by Shelly G.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Sri K

08/21/2023

Step 1

This can be calculated using the combination formula: C(53,3) = 23426. Show more…

Show all steps

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As of September 2014, there were 53 Democrats, 45 Republicans, and 2 Independents for a total of 100 politicians in the US Senate. Suppose a committee is to be formed with exactly 8 senators. How many ways could you form the committee with exactly 3 Democrats and 5 Republicans?