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Updated on: 01 Dec 2013, 06:04
Originally posted by madhavsrinivas on 30 Nov 2013, 07:15.
Last edited by Bunuel on 01 Dec 2013, 06:04, edited 1 time in total.
Last edited by Bunuel on 01 Dec 2013, 06:04, edited 1 time in total.
RENAMED THE TOPIC.
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
67% (01:26) correct
33%
(01:52)
wrong
based on 231
sessions
History
Date
Time
Result
Not Attempted Yet
In how many ways can a committee of 4 people comprising at least 3 boys be formed using a group of 5 boys and 6 girls?
A) 67
B) 64
C) 65
D) 66
E) None of these
A) 67
B) 64
C) 65
D) 66
E) None of these
01 Dec 2013, 06:04
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madhavsrinivas
At least 3 boys out of 4 people means 3 boys and 1 girl OR 4 boys:
\(C^3_5*C^1_6+C^4_5=60+5=65\).
Answer: C.
01 Dec 2013, 13:28
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There are 2 options: the selected groups have no girls or one girls.
-First case: 1 girl + 3 boys: 6C1 * 5C3 = 6*10 = 60
-Second case: 4 boys: 5C4 = 5
So there are 60 + 5 = 65 ways in total.
-First case: 1 girl + 3 boys: 6C1 * 5C3 = 6*10 = 60
-Second case: 4 boys: 5C4 = 5
So there are 60 + 5 = 65 ways in total.
