The student council at a college is made up of five freshmen, six sophomores, seven juniors, and eight seniors. A yearbook photographer would like to line up two council members from each class for a picture. How many different pictures are possible if each group of classmates stands together? Which expression below results in the number of different pictures that are possible? O A. C(4,4) C(5,2) C6,2) C(7,2). C(8,2) B. P(4,4) P(5,2). P(6,2) P(7,2). P(8,2) OC. P(5,2) P(6,2). P(7,2). P(8,2) O D. C(5,2) C6,2) C(7,2). C(8,2) The number of possible pictures is

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The student council at a college is made up of five freshmen, six sophomores, seven juniors, and eight seniors. A yearbook photographer would like to line up two council members from each class for a picture. How many different pictures are possible if each group of classmates stands together?

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Which expression below results in the number of different pictures that are possible?

A. \( C(4,4) \times C(5,2) \times C(6,2) \times C(7,2) \times C(8,2) \)

B. \( P(4,4) \times P(5,2) \times P(6,2) \times P(7,2) \times P(8,2) \) ✔️

C. \( P(5,2) \times P(6,2) \times P(7,2) \times P(8,2) \)

D. \( C(5,2) \times C(6,2) \times C(7,2) \times C(8,2) \)

The number of possible pictures is [box for input].
Transcribed Image Text:The student council at a college is made up of five freshmen, six sophomores, seven juniors, and eight seniors. A yearbook photographer would like to line up two council members from each class for a picture. How many different pictures are possible if each group of classmates stands together? --- Which expression below results in the number of different pictures that are possible? A. \( C(4,4) \times C(5,2) \times C(6,2) \times C(7,2) \times C(8,2) \) B. \( P(4,4) \times P(5,2) \times P(6,2) \times P(7,2) \times P(8,2) \) ✔️ C. \( P(5,2) \times P(6,2) \times P(7,2) \times P(8,2) \) D. \( C(5,2) \times C(6,2) \times C(7,2) \times C(8,2) \) The number of possible pictures is [box for input].
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