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To earn a joint degree, a student must take any two math cla
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03 Dec 2020, 10:44
03 Dec 2020, 10:44
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To earn a joint degree, a student must take any two math classes from the eight math classes that are offered and any two physics classes from the nine physics classes that are offered. How many different combinations of classes can a student take if he or she wishes to earn a joint degree?
A. 68
B. 288
C. 988
D. 1,008
E. 4,032
Kudos for the right answer and explanation
A. 68
B. 288
C. 988
D. 1,008
E. 4,032
Kudos for the right answer and explanation
Re: To earn a joint degree, a student must take any two math cla
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03 Dec 2020, 12:25
03 Dec 2020, 12:25
1
Dividing into cases:
The student must attend 2 math classes out of 8 options, and the order of the classes doesn't matter. So we can use the combination formula: 8C2 = 8!/6!2! = 28
And the student must also attend 2 physics classes out of 9 options, so using the same reasoning we have: 9C2 = 9!/7!2! = 36
Using the fundamental principle of counting we have 28*36 = 1008 Choice D
The student must attend 2 math classes out of 8 options, and the order of the classes doesn't matter. So we can use the combination formula: 8C2 = 8!/6!2! = 28
And the student must also attend 2 physics classes out of 9 options, so using the same reasoning we have: 9C2 = 9!/7!2! = 36
Using the fundamental principle of counting we have 28*36 = 1008 Choice D
gmatclubot
Re: To earn a joint degree, a student must take any two math cla [#permalink]
03 Dec 2020, 12:25
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