5. A committee of 4 students must be chosen from a pool of 5 sophomores, 9 juniors and 7 seniors. Annie, a senior, is not willing to serve in any committee that contains juniors. How many different committees include no sophomores and at most two juniors? justify! A. +(9) . (A) + (9) B. + (9) . (4) + (9) . . C. )·(4) + (1) () + (2) · (2) - (1) · (3) . D. () · (4) + (1) · (3) + (2) · (2) − (1) · (3) E. None of the above -

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 5CT: At Rosemont High School, 14 players are on the varsity basketball team, 35 players are on the...
Question

please explain step by step, each concept in detail

5. A committee of 4 students must be chosen from a pool of 5 sophomores, 9 juniors
and 7 seniors. Annie, a senior, is not willing to serve in any committee that contains
juniors. How many different committees include no sophomores and at most two juniors?
justify!
A. +(9)
.
(A) + (9)
B.
+ (9)
.
(4) + (9)
.
.
C. )·(4) + (1) () + (2) · (2) - (1) · (3)
.
D. () · (4) + (1) · (3) + (2) · (2) − (1) · (3)
E. None of the above
-
Transcribed Image Text:5. A committee of 4 students must be chosen from a pool of 5 sophomores, 9 juniors and 7 seniors. Annie, a senior, is not willing to serve in any committee that contains juniors. How many different committees include no sophomores and at most two juniors? justify! A. +(9) . (A) + (9) B. + (9) . (4) + (9) . . C. )·(4) + (1) () + (2) · (2) - (1) · (3) . D. () · (4) + (1) · (3) + (2) · (2) − (1) · (3) E. None of the above -
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