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10 May 2020, 08:38
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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:
95%
(hard)
Question Stats:
32% (01:59) correct
68%
(02:09)
wrong
based on 53
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There are 6 periods in each working day of a school. In how many ways can one organize 5 subjects such that each subject is allowed at least one period?
A. 3200
B. 2400
C. 1800
D. 3600
E. 3000
A. 3200
B. 2400
C. 1800
D. 3600
E. 3000
10 May 2020, 08:45
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preetamsaha
There are 6 periods in each working day of a school. In how many ways can one organize 5 subjects such that each subject is allowed at least one period?
A. 3200
B. 2400
C. 1800
D. 3600
E. 3000
A. 3200
B. 2400
C. 1800
D. 3600
E. 3000
Choose 2 out of 6 periods for same subjects in 6C2 ways
Arrange 5 subjects in 5 different slots in 5! ways
6th Period has to be same subject as one subject so only 1 way
6C2*5! = 15*120 = 1800
Answer: Option C
07 May 2024, 07:19
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We can think this way : we need to select one subject that will be given 2 periods rest others will get one each so, there are 5 ways to select one subject. After that, we need to organize these 6 periods where 2 periods will be of same subject hence, number of ways = 6!/2!
Total number of ways = 5* 6!/2! = 1800.
Total number of ways = 5* 6!/2! = 1800.
