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28 Nov 2018, 02:09
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
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Question Stats:
80% (01:20) correct
20%
(01:25)
wrong
based on 163
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[Math Revolution GMAT math practice question]
A club has 10 members. One president and two vice-presidents are elected. In how many ways can they be selected?
A. 240
B. 280
C. 300
D. 320
E. 360
A club has 10 members. One president and two vice-presidents are elected. In how many ways can they be selected?
A. 240
B. 280
C. 300
D. 320
E. 360
28 Nov 2018, 03:10
Kudos
Bookmarks
MathRevolution
[Math Revolution GMAT math practice question]
A club has 10 members. One president and two vice-presidents are elected. In how many ways can they be selected?
A. 240
B. 280
C. 300
D. 320
E. 360
A club has 10 members. One president and two vice-presidents are elected. In how many ways can they be selected?
A. 240
B. 280
C. 300
D. 320
E. 360
There are two ways of doing.
Either you select one president and then select 2 Vice presidents from remaining(that is 10-1=9 remaining) --10*
or
You select 2 vice president and then select 1 president from remaining(that is 10-2= 9 remaining) --10C2*8C1
For first way --
No of ways of selecting one President from 10 = 10C1 = 10 ways
No of ways of selecting two Vice- President from remaining (9) = 9C2
Total number of ways = 10*9C2= 360
So E is the answer.
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28 Nov 2018, 07:43
Kudos
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MathRevolution
[Math Revolution GMAT math practice question]
A club has 10 members. One president and two vice-presidents are elected. In how many ways can they be selected?
A. 500
B. 280
C. 300
D. 320
E. 360
A club has 10 members. One president and two vice-presidents are elected. In how many ways can they be selected?
A. 500
B. 280
C. 300
D. 320
E. 360
Take the task of selecting the president and two vice-presidents and break it into stages.
Stage 1: Select the president
There are 10 people to choose from. So, we can complete stage 1 in 10 ways
Stage 2: Select two people to be the vice-presidents
Since the order in which we select the two people does not matter, we can use combinations.
We can select 2 people from the remaining 9 people in 9C2 ways (36 ways)
So, we can complete stage 2 in 36 ways
If anyone is interested, we have a free video on calculating combinations (like 9C2) in your head: https://www.gmatprepnow.com/module/gmat- ... /video/789
By the Fundamental Counting Principle (FCP), we can complete the two stages (and thus select a president and two vice presidents) in (10)(36) ways (= 360 ways)
Answer: E
Note: the FCP can be used to solve the MAJORITY of counting questions on the GMAT. So, be sure to learn it.
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