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03 Mar 2021, 04:45
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
51% (01:19) correct
49%
(01:37)
wrong
based on 143
sessions
History
Date
Time
Result
Not Attempted Yet
What is the number of arrangements of the letter in the word PENCILS if E precedes I ?
A. 120
B. 720
C. 1440
D. 2160
E. 2520
A. 120
B. 720
C. 1440
D. 2160
E. 2520
03 Mar 2021, 04:51
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Take E and I as 1 unit.
Since E precedes I, there is only 1 arrangement for this unit.
Arrange 6 units (5 letters and 1 unit of E and I) in 6! = 720 ways.
Option B
Arun Kumar
Posted from my mobile device
Since E precedes I, there is only 1 arrangement for this unit.
Arrange 6 units (5 letters and 1 unit of E and I) in 6! = 720 ways.
Option B
Arun Kumar
Posted from my mobile device
10 Mar 2021, 23:50
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Bunuel
Total arrangements \(7!\)
Now in exactly half of these E will precede I and in other half I will precede E hence total arrangement with the given conditions:
\(\frac{7!}{2}\) =2520
Ans-E
Hope it's clear.
