A lottery game requires that 6 different numbers are picked from 1 to 12. If someone picks all 6 winning numbers, the person wins $12 million. Complete parts (a) and (b) below. (a) How many ways are there to choose i numbers if order is not important? There are 924 ways to choose the numbers. (Type a whole number.) (b) How many ways are there to choose 6 numbers if order matters? There are ways to choose the numbers. (Type a whole number.)

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter14: Counting And Probability
Section14.1: Counting
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A lottery game requires that 6 different numbers are picked from 1 to 12. If someone picks all 6 winning numbers, the person wins $12 million. Complete parts (a)
and (b) below.
(a) How many ways are there to choose
i numbers if order is not important?
There are 924 ways to choose the numbers.
(Type a whole number.)
(b) How many ways are there to choose 6 numbers if order matters?
There are ways to choose the numbers.
(Type a whole number.)
Transcribed Image Text:A lottery game requires that 6 different numbers are picked from 1 to 12. If someone picks all 6 winning numbers, the person wins $12 million. Complete parts (a) and (b) below. (a) How many ways are there to choose i numbers if order is not important? There are 924 ways to choose the numbers. (Type a whole number.) (b) How many ways are there to choose 6 numbers if order matters? There are ways to choose the numbers. (Type a whole number.)
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