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25 May 2019, 23:00
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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:
45%
(medium)
Question Stats:
67% (02:11) correct
33%
(02:26)
wrong
based on 468
sessions
History
Date
Time
Result
Not Attempted Yet
A pianist is planning the order in which they will play their recital. They will play 6 pieces by 6 different composers: Brahms, Chopin, Haydn, Liszt, Mozart, and Schubert. The recital will be in two halves with 3 pieces before a short interval and 3 pieces straight after. The pianist decides that the final piece in each half will be by one of Liszt, Brahms, or Mozart. How many different possible orders are there for the pianist’s recital?
a) 48
b) 72
c) 120
d)144
e) 720
a) 48
b) 72
c) 120
d)144
e) 720
25 May 2019, 23:29
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shridhar786
Pieces- B C H L M S
Arrangement _ _ _ Interval _ _ _
The two colored spaces can be filled by following ways
LB
BL
BM
MB
LM
ML, rest pieces will be arranged in 4! ways.
So answer: 6*4!= 144 D
General Discussion
26 May 2019, 11:56
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B,C,H,L,M,S
P1,P2,P3 interval P4,P5,P6
P3 and P6 can be filled by L,B or M
P3-can be chosen from any one of 3
P6-can be chosen from remaining 2
similarly for remaining 4 places
P1-4
P2-3
P4-2
P5-1
so, 4*3*3*2*1*2 =144
P1,P2,P3 interval P4,P5,P6
P3 and P6 can be filled by L,B or M
P3-can be chosen from any one of 3
P6-can be chosen from remaining 2
similarly for remaining 4 places
P1-4
P2-3
P4-2
P5-1
so, 4*3*3*2*1*2 =144
