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Fritz is taking an examination that consists of two parts, A
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09 May 2019, 01:16
09 May 2019, 01:16
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Question Stats:
51% (01:46) correct
48% (02:18) wrong based on 56 sessions
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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
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
Re: Fritz is taking an examination that consists of two parts, A
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10 May 2019, 06:04
10 May 2019, 06:04
3
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
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
Re: Fritz is taking an examination that consists of two parts, A
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28 Aug 2019, 01:55
28 Aug 2019, 01:55
1
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
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.
