A lottery game requires that 5 different numbers are picked from 1 to 11. If someone picks all 5 winning numbers, the person wins $11 million. Complete parts (a) and (b) below. (a) How many ways are there to choose 5 numbers if order is not important? There are 462 ways to choose the numbers. (Type a whole number.) (b) How many ways are there to choose 5 numbers if order matters? There are ways to choose the numbers. (Type a whole number.)

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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A lottery game requires that 5 different numbers are picked from 1 to 11. If someone picks all 5 winning numbers, the
person wins $11 million. Complete parts (a) and (b) below.
(a) How many ways are there to choose 5 numbers if order is not important?
There are 462 ways to choose the numbers.
(Type a whole number.)
(b) How many ways are there to choose 5 numbers if order matters?
There are ways to choose the numbers.
(Type a whole number.)
Transcribed Image Text:A lottery game requires that 5 different numbers are picked from 1 to 11. If someone picks all 5 winning numbers, the person wins $11 million. Complete parts (a) and (b) below. (a) How many ways are there to choose 5 numbers if order is not important? There are 462 ways to choose the numbers. (Type a whole number.) (b) How many ways are there to choose 5 numbers if order matters? There are ways to choose the numbers. (Type a whole number.)
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