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24 Feb 2015, 07:48
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B
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Difficulty:
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Question Stats:
91% (01:08) correct
9%
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wrong
based on 139
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The county-mandated guidelines at a certain community college specify that for the introductory English class, the professor may choose one of three specified novels, and choose two from a list of 5 specified plays. Thus, the reading list for this introductory class is guaranteed to have one novel and two plays. How many different reading lists could a professor create within these parameters?
A. 15
B. 30
C. 90
D. 150
E. 360
Kudos for a correct solution.
A. 15
B. 30
C. 90
D. 150
E. 360
Kudos for a correct solution.
24 Feb 2015, 08:23
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Here we go:
We have to pick one of three specified novels and two from a list of 5 specified plays.
This can be done in
3c1 * 5c2 ways.
3 * 10 = 30
Option B is correct
We have to pick one of three specified novels and two from a list of 5 specified plays.
This can be done in
3c1 * 5c2 ways.
3 * 10 = 30
Option B is correct
24 Feb 2015, 08:52
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Bunuel
The county-mandated guidelines at a certain community college specify that for the introductory English class, the professor may choose one of three specified novels, and choose two from a list of 5 specified plays. Thus, the reading list for this introductory class is guaranteed to have one novel and two plays. How many different reading lists could a professor create within these parameters?
A. 15
B. 30
C. 90
D. 150
E. 360
Kudos for a correct solution.
A. 15
B. 30
C. 90
D. 150
E. 360
Kudos for a correct solution.
not a very corrected worded question ....
it contains 'may ' and then talks of 'guarranteed'....
but what the question could be implying, accordingly the answer..
one of three specified novels= 3c1.. two of five plays=5c2..
total=3c1*5c2=3*10=30
ans B..30
however, as we are talking of different readings list, the order may be important ...
these 3 can be then arranged in 3! ways .. ans then becomes 30*6=180..
however with this answer not one of the choices, i think the question means it is selection and not arrangement
