   Chapter 14.1, Problem 73E ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

# APPLICATIONS61-74 ■ Combinations These exercises involve counting combinations.Lottery In the 6 / 49 lottery game, a player picks six numbers from 1 to 49 . How many different choices does the player have?

To determine

To find:

The number of choices player has in the 6/49 lottery game.

Explanation

Given:

There are total 49 cards and the player has to choose 6 of them

Approach:

The order for choosing 6 cards from the total of 49 is not considered.

The formula of the number of combinations as follows.

C(n,r)=n!r!(nr)!(1)

Here, n is the total number of objects and r is the number of objects chosen.

Calculation:

Substitute 49 for n and 6 for r in equation (1)

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