Using the rules for counting permutations and combinations of r things out ofn things. n! n! P(n,r) =- (n-r)! C(n,r) = and %3D r!(n-r)!" Answer the following questions. Show your calculations. a) In how many ways can a president, vice-president, and secretary be picked from the 19 members of a club? b) In how many ways can a committee with 3 members be picked from a club with 19 members?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 65RE
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Using the rules for counting permutations and combinations of
r things out of n things.
10)
n!
P(n,r) = -
(n-r)!
71
n!
and
C(n,r) =|
r!(n-r)!"
Answer the following questions. Show your calculations.
a) In how many ways can a president, vice-president, and secretary be
picked from the 19 members of a club?
b) In how many ways can a committee with 3 members be picked from a club
with 19 members?
Transcribed Image Text:Using the rules for counting permutations and combinations of r things out of n things. 10) n! P(n,r) = - (n-r)! 71 n! and C(n,r) =| r!(n-r)!" Answer the following questions. Show your calculations. a) In how many ways can a president, vice-president, and secretary be picked from the 19 members of a club? b) In how many ways can a committee with 3 members be picked from a club with 19 members?
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