(2) A total of 3 freshmen, 5 sophomores, 3 juniors and 4 seniors are eligible for a $3000 scholarship, a $2000 scholarship and a $1000 scholarship. a) How many distributions of scholarships are there if none go to freshmen? b) How many distributions of scholarships are there if at least two must go to seniors? c) How same class can receive a scholarship? many distributions of scholarships are there if no two students from the

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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2A total of 3 freshmen, 5 sophomores, 3 juniors and 4 seniors are eligible for a
$3000 scholarship, a $2000 scholarship and a $1000 scholarship.
a) How many distributions of scholarships are there if none go to freshmen?
b) How many distributions of scholarships are there if at least two must go to
seniors?
c) How many distributions of scholarships are there if no two students from the
same class can receive a scholarship?
Transcribed Image Text:2A total of 3 freshmen, 5 sophomores, 3 juniors and 4 seniors are eligible for a $3000 scholarship, a $2000 scholarship and a $1000 scholarship. a) How many distributions of scholarships are there if none go to freshmen? b) How many distributions of scholarships are there if at least two must go to seniors? c) How many distributions of scholarships are there if no two students from the same class can receive a scholarship?
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