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Lothar has 6 stamps from Utopia and 4 stamps from Cornucopia in his co
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28 Feb 2023, 10:54
28 Feb 2023, 10:54
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Question Stats:
75% (01:23) correct
25% (01:31) wrong based on 12 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.
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
The number of ways Lothar can give 4 stamps (two of each type) to Peggy Sue |
100 |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Re: Lothar has 6 stamps from Utopia and 4 stamps from Cornucopia in his co
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19 Mar 2023, 12:00
19 Mar 2023, 12:00
Expert Reply
OE
This exercise can be regarded as two successive “pick a group” problems. First, 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:
Tot # of ways= 6!/2!4!*4!/2!2!=90
B > A
This exercise can be regarded as two successive “pick a group” problems. First, 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:
Tot # of ways= 6!/2!4!*4!/2!2!=90
B > A
gmatclubot
Re: Lothar has 6 stamps from Utopia and 4 stamps from Cornucopia in his co [#permalink]
19 Mar 2023, 12:00
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