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26 Jul 2023, 08:00
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
38% (01:47) correct
62%
(01:29)
wrong
based on 252
sessions
History
Date
Time
Result
Not Attempted Yet
If there are 5 girls and 4 boys at a school ball, how many ways can 3 boy-girl dance pairs be formed?
A. 15
B. 20
C. 40
D. 240
E. 1440
A. 15
B. 20
C. 40
D. 240
E. 1440
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26 Jul 2023, 08:15
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Asked: If there are 5 girls and 4 boys at a school ball, how many ways can 3 boy-girl dance pairs be formed?
The number of ways to select 3 girls out of 5 girls = 5C3 = 10
The number of ways to select 3 boys out of 4 boys = 4C3 = 4
The number of ways to select 3 boy-girl pairs out of 3 boys and 3 girls = 3! = 6
The number of ways 3 boy-girl dance pairs be formed = 5C3*4C3 * 3! = 10*4*6 = 240
IMO D
The number of ways to select 3 girls out of 5 girls = 5C3 = 10
The number of ways to select 3 boys out of 4 boys = 4C3 = 4
The number of ways to select 3 boy-girl pairs out of 3 boys and 3 girls = 3! = 6
The number of ways 3 boy-girl dance pairs be formed = 5C3*4C3 * 3! = 10*4*6 = 240
IMO D
26 Jul 2023, 08:42
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Bunuel
If there are 5 girls and 4 boys at a school ball, how many ways can 3 boy-girl dance pairs be formed?
A. 15
B. 20
C. 40
D. 240
E. 1440
A. 15
B. 20
C. 40
D. 240
E. 1440
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3 girls can be chosen in 5c3 ways
3 boys can be chosen in 4c3 ways
3 boys and 3 girls can be paired in 3*2*1 = 6 ways, similar to 3 seats and 3 people.
Multiplying all together, 10*4*6 = 240
D is the right choice.
