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The number of distinct ways to form an ordered line of 3 peo
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09 Oct 2018, 09:42
09 Oct 2018, 09:42
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Expert Reply
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Question Stats:
59% (01:00) correct
40% (00:55) wrong based on 148 sessions
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Quantity A |
Quantity B |
The number of distinct ways to form an ordered line of 3 people by choosing from 6 people |
The number of distinct ways to form an unordered group of 3 people by choosing from 10 people |
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
Re: The number of distinct ways to form an ordered line of 3 peo
[#permalink]
11 Oct 2018, 15:51
11 Oct 2018, 15:51
Quantity A:
This is a permutation since order matters: 6*5*4 = 120
Quantity B:
This is a combination since order doesn't matter: 10C3 = 10!/3!(10!-3!) = 10*9*8*7!/(3*2*1)(7!) = 720/6 = 120
C is the correct answer.
This is a permutation since order matters: 6*5*4 = 120
Quantity B:
This is a combination since order doesn't matter: 10C3 = 10!/3!(10!-3!) = 10*9*8*7!/(3*2*1)(7!) = 720/6 = 120
C is the correct answer.
