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24 Jun 2025, 05:15
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Question Stats:
100% (01:04) correct
0% (00:00) wrong based on 3 sessions
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Lothar has 6 stamps from Utopia and 4 stamps from Cornucopia in his collection. He will give two stamps of each type to his friend Peggy Sue.
| Quantity A | Quantity B |
| The number of ways Lothar can give 4 stamps (two of each type) to Peggy Sue | 100 |
26 Jun 2025, 01:13
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This exercise can be regarded as two successive “pick a group” problems. Lothar picks 2 out of 6 Utopian stamps, and then 2 out of 4 Cornucopian stamps. Each selection may be computed by using the combinations formula to compute the number of groups of size 2 of each type of stamp. To get the total number of ways, multiply the Utopian result and the Cornucopian result. Lothar can choose the Utopian stamps in \(\frac{6*5}{2!}=15\) ways and the Cornucopian stamps in \(\frac{4*3}{2!}=6\) ways, so together, there are 15 × 6 = 90 possible ways for Lothar to give Peggy Sue two stamps of each type.
Alternatively, use the textbook formula.
The correct answer is (B): Quantity B is greater.
GMAT-Club-Forum-9p62pxig.png [ 41.65 KiB | Viewed 288 times ]
This exercise can be regarded as two successive “pick a group” problems. Lothar picks 2 out of 6 Utopian stamps, and then 2 out of 4 Cornucopian stamps. Each selection may be computed by using the combinations formula to compute the number of groups of size 2 of each type of stamp. To get the total number of ways, multiply the Utopian result and the Cornucopian result. Lothar can choose the Utopian stamps in \(\frac{6*5}{2!}=15\) ways and the Cornucopian stamps in \(\frac{4*3}{2!}=6\) ways, so together, there are 15 × 6 = 90 possible ways for Lothar to give Peggy Sue two stamps of each type.
Alternatively, use the textbook formula.
The correct answer is (B): Quantity B is greater.
Attachment:
GMAT-Club-Forum-9p62pxig.png [ 41.65 KiB | Viewed 288 times ]
