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12 Sep 2025, 10:10
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
57% (00:56) correct
42% (00:27) wrong based on 7 sessions
History
Date
Time
Result
Not Attempted Yet
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
A. 68
B. 288
C. 988
D. 1,008
E. 4,032
27 Sep 2025, 11:33
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Official Explanation
We need to choose two math classes from eight offered and two physics classes from nine offered. These can be found with the “choose” function. Recall that n! means the product of all positive integers from 1 through n, inclusive. For math classes, we need 8C2, so n = 8 and k = 2 in the formula above: Most of the factors in the 8! expression cancel with all of the factors in 6!, and we are left with choices for math. Similarly, the number of combinations of physics classes equals The total combinations for math and physics classes equals \(28 × 36 = 1,008, (D).\)
GMAT-Club-Forum-su8cy1bv.png [ 69.16 KiB | Viewed 224 times ]
We need to choose two math classes from eight offered and two physics classes from nine offered. These can be found with the “choose” function. Recall that n! means the product of all positive integers from 1 through n, inclusive. For math classes, we need 8C2, so n = 8 and k = 2 in the formula above: Most of the factors in the 8! expression cancel with all of the factors in 6!, and we are left with choices for math. Similarly, the number of combinations of physics classes equals The total combinations for math and physics classes equals \(28 × 36 = 1,008, (D).\)
Attachment:
GMAT-Club-Forum-su8cy1bv.png [ 69.16 KiB | Viewed 224 times ]
