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The purchaser of a certain car must choose 2 of 5 special options and

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The purchaser of a certain car must choose 2 of 5 special options and  [#permalink]

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New post 27 Feb 2019, 22:19
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A
B
C
D
E

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Question Stats:

85% (00:59) correct 15% (01:33) wrong based on 87 sessions

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Re: The purchaser of a certain car must choose 2 of 5 special options and  [#permalink]

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New post 28 Feb 2019, 03:02
Bunuel wrote:
The purchaser of a certain car must choose 2 of 5 special options and 5 of 6 interior features. How many different combinations of options and features are available to the purchaser?

A. 10
B. 16
C. 18
D. 30
E. 60


options avail 5c2* 6c5
10*6
60
IMO E
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Re: The purchaser of a certain car must choose 2 of 5 special options and  [#permalink]

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New post 29 Mar 2020, 07:51
Bunuel wrote:
The purchaser of a certain car must choose 2 of 5 special options and 5 of 6 interior features. How many different combinations of options and features are available to the purchaser?

A. 10
B. 16
C. 18
D. 30
E. 60


Solution


    • The number of ways in which the car can be chosen = \(5C2 = \frac{5!}{2!*3!} = 10\)
    • The number of ways in which the interior can be selected = \(6C5 = 6\)
      o The total number of combinations of option and feature = \(10*6= 60\)
Hence, the correct answer is Option E.
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Re: The purchaser of a certain car must choose 2 of 5 special options and  [#permalink]

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New post 08 Apr 2020, 16:52
Bunuel wrote:
The purchaser of a certain car must choose 2 of 5 special options and 5 of 6 interior features. How many different combinations of options and features are available to the purchaser?

A. 10
B. 16
C. 18
D. 30
E. 60


5C2 * 6C5
5C2= 5!/(3!2!) = 10
6C5 = 6

Answer 60
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Re: The purchaser of a certain car must choose 2 of 5 special options and  [#permalink]

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New post 11 Apr 2020, 04:55
Bunuel wrote:
The purchaser of a certain car must choose 2 of 5 special options and 5 of 6 interior features. How many different combinations of options and features are available to the purchaser?

A. 10
B. 16
C. 18
D. 30
E. 60


The number of possible combinations is:

5C2 * 6C5

(5 x 4)/2! * 6 = 5 x 4 x 3 = 60

Answer: E

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Re: The purchaser of a certain car must choose 2 of 5 special options and   [#permalink] 11 Apr 2020, 04:55

The purchaser of a certain car must choose 2 of 5 special options and

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