A House committee has 9 members, consisting of 5 Republicans and 4 Democrats. Aneducation group of 3 members is going to be formed, and this group must have at least 1Republican. How many ways are there to choose the members on the education group?(A) 60(В) 50(C) 80(D) 30(E) 34(F) 252(G) 11(H) 4

Given: 5 Republicans 4 democrats 3 members is to be formed with atleast 1 Republican.

Answered: . How many ways are there to choose the…

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. How many ways are there to choose the members on the education group?

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.1: Counting

Problem 92E: DISCUSS: Complementary Combinations Without performing any calculations, explain in words Why the...

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Concept explainers

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.

Question

A House committee has 9 members, consisting of 5 Republicans and 4 Democrats. An
education group of 3 members is going to be formed, and this group must have at least 1
Republican. How many ways are there to choose the members on the education group?
(A) 60
(В) 50
(C) 80
(D) 30
(E) 34
(F) 252
(G) 11
(H) 4

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