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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] New post 09 May 2019, 01:16
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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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Re: Fritz is taking an examination that consists of two parts, A [#permalink] New post 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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Re: Fritz is taking an examination that consists of two parts, A   [#permalink] 10 May 2019, 06:04
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Fritz is taking an examination that consists of two parts, A

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