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Updated on: 05 Aug 2019, 06:53
Originally posted by DarkHorse2019 on 03 Aug 2019, 01:06.
Last edited by DarkHorse2019 on 05 Aug 2019, 06:53, edited 1 time in total.
Last edited by DarkHorse2019 on 05 Aug 2019, 06:53, edited 1 time in total.
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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:
45%
(medium)
Question Stats:
64% (01:19) correct
36%
(01:36)
wrong
based on 72
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An executive is planning his morning schedule, which will include five meetings, three of which are with Human Resources. If none of the meetings with Human Resources are to be consecutive, how many different ways can he arrange the five meetings?
A) 12
B) 15
C) 13
D) 6
E) 36
Source: Math Bible (Jeff Sacksmann)
A) 12
B) 15
C) 13
D) 6
E) 36
Source: Math Bible (Jeff Sacksmann)
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03 Aug 2019, 04:30
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Official Explanation
To avoid back-to-back HR meetings, the HR meetings must be 1st,
3rd, and 5th. Thus, the 1st meeting could be any of the 3 HR meetings, the 2nd
could be either of the 2 other meetings, the 3rd could be either of the remaining
HR meetings, while the 4th is the remaining other meeting and the 5th is the
remaining HR meeting. The number of permutations is:
3 x 2 x 2 x 1 x 1 = 12
1st HR _____ 2nd HR _____ 3rd HR
3 2 2 1 1
To avoid back-to-back HR meetings, the HR meetings must be 1st,
3rd, and 5th. Thus, the 1st meeting could be any of the 3 HR meetings, the 2nd
could be either of the 2 other meetings, the 3rd could be either of the remaining
HR meetings, while the 4th is the remaining other meeting and the 5th is the
remaining HR meeting. The number of permutations is:
3 x 2 x 2 x 1 x 1 = 12
1st HR _____ 2nd HR _____ 3rd HR
3 2 2 1 1
03 Aug 2019, 07:17
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DarkHorse2019
An executive is planning his morning schedule, which will include
five meetings, three of which are with Human Resources. If none
of the meetings with Human Resources are to be consecutive,
how many different ways can he arrange the five meetings?
A) 12
B) 15
C) 13
D) 6
E) 36
Source: Math Bible (Jeff Sacksmann)
five meetings, three of which are with Human Resources. If none
of the meetings with Human Resources are to be consecutive,
how many different ways can he arrange the five meetings?
A) 12
B) 15
C) 13
D) 6
E) 36
Source: Math Bible (Jeff Sacksmann)
Given: An executive is planning his morning schedule, which will include five meetings, three of which are with Human Resources. None of the meetings with Human Resources are to be consecutive,
Asked: How many different ways can he arrange the five meetings?
Three meetings with HR are to be conducted at 1st, 3rd and 5th place (3! ways) and other meeting are to be conducted at 2nd and 4th place.(2! ways)
Total number of ways for 5 meetings = 3!*2! = 6*2 = 12
IMO A
