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# Fritz is taking an examination that consists of two parts, A

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Fritz is taking an examination that consists of two parts, A [#permalink]  09 May 2019, 01:16
Expert's post
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Question Stats:

42% (01:23) correct 57% (03:48) wrong based on 14 sessions
Fritz is taking an examination that consists of two parts, A and B, with the following instructions:

Part A contains three questions, and a student must answer two.
Part B contains four questions, and a student must answer two.
Part A must be completed before starting Part B.

In how many ways can the test be completed?

(A) 12

(B) 15

(C) 36

(D) 72

(E) 90
[Reveal] Spoiler: OA

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Director
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Re: Fritz is taking an examination that consists of two parts, A [#permalink]  10 May 2019, 06:04
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This can be done by using the fundamental principle of counting.

There are altogether 5 slots for solving the problem.

In the first slot we have 1 because we have to attempt part A first.
In the second slot we have 3 because there are 3 options for first part.
After one of the option is chosen the third slot will contain 2 option.
After first part is complete there remains two slot.
These two slots will contain number 4 and 3 respectively because for second part there are 4 options and two must be done.
Therefore ans = 1*3*2*4*3 = 72
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Intern
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Re: Fritz is taking an examination that consists of two parts, A [#permalink]  28 Aug 2019, 01:55
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Carcass wrote:
Fritz is taking an examination that consists of two parts, A and B, with the following instructions:

Part A contains three questions, and a student must answer two.
Part B contains four questions, and a student must answer two.
Part A must be completed before starting Part B.

In how many ways can the test be completed?

(A) 12

(B) 15

(C) 36

(D) 72

(E) 90

I think that the question is a bit unclear as it doesn't specify if the order of the questions within each part matters.
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Re: Fritz is taking an examination that consists of two parts, A [#permalink]  28 Aug 2019, 14:33
Expert's post
In this case no need to specify.

The order inside the tests does not matter..

Regards
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Intern
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Re: Fritz is taking an examination that consists of two parts, A [#permalink]  03 Sep 2019, 11:41
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GRE Instructor
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Re: Fritz is taking an examination that consists of two parts, A [#permalink]  03 Sep 2019, 11:46
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Expert's post
fltft wrote:

Agreed! Way too much ambiguity!!
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Re: Fritz is taking an examination that consists of two parts, A [#permalink]  03 Sep 2019, 12:04
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Expert's post
Added to the list of not a good question we are looking for
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Re: Fritz is taking an examination that consists of two parts, A   [#permalink] 03 Sep 2019, 12:04
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