There are 30 boys and 35 girls that try out for a chorus. The choir director will select 10 girls and 10 boys from the children trying out. How many ways are there for the choir director to make his selection? A C(35, 10) + C(30, 10) B C(65, 20) C C(35, 10)C(30,10) D P(35, 10) + P(30, 10)

There are 30 boys and 35 girls that try out for a chorus. The choir director will select 10 girls and 10 boys from the children trying out. How many ways are there for the choir director to make his selection? A C(35, 10) + C(30, 10) B C(65, 20) C C(35, 10)C(30,10) D P(35, 10) + P(30, 10)

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.5: Counting Principles

Problem 49SE: A motorcycle shop has 10 choppers, 6 bobbers, and 5 café racers—different types of vintage...

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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

There are 30 boys and 35 girls that try out for a
chorus. The choir director will select 10 girls and 10
boys from the children trying out. How many ways
are there for the choir director to make his selection?
A
C(35, 10) + C(30, 10)
B C(65, 20)
C
C(35, 10)C(30,10)
D
Р(35, 10) + P(30, 10)

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