Consider a lottery game that is played by drawing four white balls out of a drum of 59 white balls (numbered 1–59) and one red ball out of a drum of 25 red balls (numbered 1–25). The jackpot is won by matching all four white balls in any order and the red ball. (a) Find the possible number of winning numbers.  (b) Find the possible number of winning numbers if the jackpot is won by matching all four white balls in order and the red ball.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
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Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
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Consider a lottery game that is played by drawing four white balls out of a drum of 59 white balls (numbered 1–59) and one red ball out of a drum of 25 red balls (numbered 1–25). The jackpot is won by matching all four white balls in any order and the red ball.

(a) Find the possible number of winning numbers. 

(b) Find the possible number of winning numbers if the jackpot is won by matching all four white balls in order and the red ball. 
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