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04 Jun 2026, 16:30
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E
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Difficulty:
25%
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Question Stats:
82% (01:49) correct
18%
(02:48)
wrong
based on 68
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A team of 4 has to be made from a group of 4 boys and 5 girls. How many teams are possible such that there are at least two boys in the team?
A. 126
B. 121
C. 120
D. 86
E. 81
A. 126
B. 121
C. 120
D. 86
E. 81
BongBideshini
Joined: 25 May 2021
Last visit: 09 Jul 2026
Posts: 367
Given Kudos: 127
Location: India
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05 Jun 2026, 06:38
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Possible teams with at least 2 boys:
Case 1: 2 boys and 2 girls
\(4C_2 × 5C_2 = 6 × 10 = 60\)
Case 2: 3 boys and 1 girl
\(4C_3 × 5C_1 \)= 4 × 5 = 20
Case 3: 4 boys and 0 girls
\(4C_4 × 5C_0 \)= 1 × 1 = 1
Total number of teams:
60 + 20 + 1 = 81
Answer: E.
Case 1: 2 boys and 2 girls
\(4C_2 × 5C_2 = 6 × 10 = 60\)
Case 2: 3 boys and 1 girl
\(4C_3 × 5C_1 \)= 4 × 5 = 20
Case 3: 4 boys and 0 girls
\(4C_4 × 5C_0 \)= 1 × 1 = 1
Total number of teams:
60 + 20 + 1 = 81
Answer: E.
05 Jun 2026, 07:02
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Hello,
A team of 4 has to be made from a group of 4 boys and 5 girls. How many teams are possible such that there are at least two boys in the team?
we can take approach of total outcome minus not favourable outcome
That is group contains no boy or 1 boy
9c4-(5c4+4c1*5c3)=126-(5+4*10)
=81
Hence option E is correct
A team of 4 has to be made from a group of 4 boys and 5 girls. How many teams are possible such that there are at least two boys in the team?
we can take approach of total outcome minus not favourable outcome
That is group contains no boy or 1 boy
9c4-(5c4+4c1*5c3)=126-(5+4*10)
=81
Hence option E is correct
