Question

A group of eight women and six men must select a four-person committee. How many committees are possible if it must consist of the following? (a) two women and two men (b) any mixture of men and women (c) a majority of women

Name: a group of eight women and six men must select a four person committee how many committees are possible if it must consist of the following a two women and two men b any mixture of men and w 73229
Uploaded: 2022-02-04T13:57:03-08:00
Duration: 3 min 43 s
Channel: Pritam Sinha
Description: a group of eight women and six men must select a four person committee how many committees are possible if it must consist of the following a two women and two men b any mixture of men and w 73229

          A group of eight women and six men must
select a four-person committee. How many committees are possible if
it must consist of the following?
(a) two women and two men
(b) any mixture of men and women
(c) a majority of women

Added by Randall D.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Pritam Sinha

02/04/2022

Step 1

This can be done in 8C2 ways. Similarly, we have 6 men and we need to select 2. This can be done in 6C2 ways. Since these are independent events, we multiply the two results together. So, the total number of ways is 8C2 * 6C2 = 28 * 15 = 420 ways. Show more…

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A group of eight women and six men must select a four-person committee. How many committees are possible if it must consist of the following? (a) two women and two men (b) any mixture of men and women (c) a majority of women