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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
GPA: 3.39
Three small cruise ships, each carrying 10 passengers, will dock tomor
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16 Jul 2021, 22:36
16 Jul 2021, 22:36
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Three small cruise ships, each carrying 10 passengers, will dock tomorrow. One ship will dock at Port A, another at Port B, and the third at Port C. At Port A, two passengers will be selected at random; each winner will receive one gift certificate worth $50. At Port B, one passenger will be selected at random to receive a gift certificate worth $35, and at Port C, one passenger will be selected at random to receive a gift certificate worth $25. How many different ways can the gift certificates be given out?
A. 270
B. 450
C. 2,700
D. 4,500
E. 27,000
A. 270
B. 450
C. 2,700
D. 4,500
E. 27,000
Re: Three small cruise ships, each carrying 10 passengers, will dock tomor
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17 Jul 2021, 02:40
17 Jul 2021, 02:40
Is it D?
Re: Three small cruise ships, each carrying 10 passengers, will dock tomor
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17 Jul 2021, 02:57
17 Jul 2021, 02:57
2
Solution:
Port A: 10C2= 45
Port B: 10C1= 10
Port C: 10C1=10
Now, As we are not given which ship goes to which port. Lets say we have three ships 1, 2 & 3 and they go to A, B & C port respectively but, the can also go to A, C & B or B, A & C.
Thus, they can be alloted ports in 3! differen ways.
Therefore, Total number of different ways can the gift certificates be given out= 3! x 45 x 10 x 10= 6 x 4500= 27000 ways
IMO E
Hope this helps!
Port A: 10C2= 45
Port B: 10C1= 10
Port C: 10C1=10
Now, As we are not given which ship goes to which port. Lets say we have three ships 1, 2 & 3 and they go to A, B & C port respectively but, the can also go to A, C & B or B, A & C.
Thus, they can be alloted ports in 3! differen ways.
Therefore, Total number of different ways can the gift certificates be given out= 3! x 45 x 10 x 10= 6 x 4500= 27000 ways
IMO E
Hope this helps!
