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11 Dec 2018, 02:39
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
47% (02:04) correct
53%
(02:21)
wrong
based on 134
sessions
History
Date
Time
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Not Attempted Yet
A question paper consists of two sections A and B having respectively 3 and 4 questions. Four questions are to be solved to qualify in that paper. It is compulsory to solve at least one question from Section A and at least two questions from Section B. In how many ways can a candidate select the questions to qualify in that paper?
(A) 30
(B) 18
(C) 48
(D) 60
(E) 72
(A) 30
(B) 18
(C) 48
(D) 60
(E) 72
A question paper consists of two sections A and B having respectively 3 and 4 questions. Four questions are to be solved to qualify in that paper. It is compulsory to solve at least one question from Section A and two questions from Section B. In how many ways can a candidate select the questions to qualify in that paper?
anshkool4u
Current Student
Joined: 18 Oct 2018
Last visit: 22 Oct 2022
Posts: 91
Given Kudos: 23
Location: India
Concentration: Finance, Operations
Schools: IIMA PGPX'23 (A)
GMAT 1: 710 Q50 V36
GPA: 4
WE:Business Development (Retail Banking)
11 Dec 2018, 02:50
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Answer is 72,IMO.
Since 1 paper needs to be selected from set A,it can be done in 3 ways.
2 papers from set B can be selected in 4C2 ways,i.e 6 ways.
And the remaining 4 paper can be selected from the combined group of remaining 4 papers.
Hence,total no. Of ways,3*6*4= 72
Posted from my mobile device
Since 1 paper needs to be selected from set A,it can be done in 3 ways.
2 papers from set B can be selected in 4C2 ways,i.e 6 ways.
And the remaining 4 paper can be selected from the combined group of remaining 4 papers.
Hence,total no. Of ways,3*6*4= 72
Posted from my mobile device
Archit3110
Major Poster
12 Dec 2018, 00:45
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only two cases would be there :
3c1*4c3 + 3c2*4c2 =
12+18 = 30
IMO A
[quote="Bunuel"]A question paper consists of two sections A and B having respectively 3 and 4 questions. Four questions are to be solved to qualify in that paper. It is compulsory to solve at least one question from Section A and at least two questions from Section B. In how many ways can a candidate select the questions to qualify in that paper?
(A) 30
(B) 18
(C) 48
(D) 60
(E) 72
3c1*4c3 + 3c2*4c2 =
12+18 = 30
IMO A
[quote="Bunuel"]A question paper consists of two sections A and B having respectively 3 and 4 questions. Four questions are to be solved to qualify in that paper. It is compulsory to solve at least one question from Section A and at least two questions from Section B. In how many ways can a candidate select the questions to qualify in that paper?
(A) 30
(B) 18
(C) 48
(D) 60
(E) 72
