# A teacher wants to select the class monitor in a class of 30 boys and 20 girls, in how many ways can the monitor be selected if the monitor must be a boy? What is the answer if the monitor - Mathematics and Statistics

Sum

A teacher wants to select the class monitor in a class of 30 boys and 20 girls, in how many ways can the monitor be selected if the monitor must be a boy? What is the answer if the monitor must be a girl?

#### Solution

Since the teacher wants to select a class monitor that must be a boy and there are 30 boys in a class.
∴ Total number of ways of selecting boy monitor
= 30 ways.
Since the teacher wants to select a class monitor that must be a girl and there are 20 girls in a class.
∴ Total number of ways of selecting girl monitor
= 20 ways.

Concept: Concept of Factorial Function
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Chapter 6: Permutations and Combinations - Exercise 6.1 [Page 72]

#### APPEARS IN

Balbharati Mathematics and Statistics 2 (Commerce) 11th Standard HSC Maharashtra State Board
Chapter 6 Permutations and Combinations
Exercise 6.1 | Q 2 | Page 72
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