Explanation Given: The bucket contains 6 red and 8 white golf balls. Formulae: 1. The factorial of a nonnegative integer n denoted by n ! , is the product of all the positive integers less than or equal to n . i.e., n ! = n ( n − 1 ) ( n − 2 ) ( n − 3 ) . . . ( 3 ) ( 2 ) ( 1 ) and by the definition, the value of 0 ! is 1 2. Combination is the selection of r items taken out of n items irrespective of the arrangement and it is denoted as C ( n , r ) or n C r or ( n r ) The formula for C ( n , r ) is given by, C ( n , r ) = ( n r ) = n ! r ! ( n − r ) ! Calculation: Total number of golf balls in bucket is 6 + 8 = 14 . Therefore, the number of ways to select 3 red golf ball from 6 red golf ball is the combination of selecting 3 red golf ball from 6 red golf ball i.e., 6 C 3 and, the number of ways to select 3 white golf ball from 8 white golf ball is the combination of selecting 3 white golf ball from 8 white golf ball i.e., 8 C 3

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ISBN: 9781305652231

Author: R. David Gustafson, Jeff Hughes

Publisher: Cengage Learning

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Chapter 8.6, Problem 59E

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The number of ways we can draw 6 golf balls of which 3 are red and 3 are white.

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Chapter 8.6, Problem 58E

Chapter 8.6, Problem 60E

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The number of ways we can draw 6 golf balls of which 3 are red and 3 are white.

Solution Summary: The author explains that the number of ways to draw 6 golf balls is 1120. The factorial of a nonnegative integer n is the product of all the positive integers less than or equal to

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To find: The number of ways we can draw 6 golf balls of which 3 are red and 3 are white.

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To find:

The number of ways we can draw 6 golf balls of which 3 are red and 3 are white.