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14 Nov 2018, 04:30
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
72% (01:00) correct
28%
(01:22)
wrong
based on 493
sessions
History
Date
Time
Result
Not Attempted Yet
In how many different ways can 3 fiction books and 3 non-fiction books be arranged in a row of 6 books on a shelf such that the fiction books are not separated, and the non-fiction books are not separated?
a)24
b)36
c)72
d)144
e)288
a)24
b)36
c)72
d)144
e)288
14 Nov 2018, 04:43
Kudos
Bookmarks
sahilkak
Fiction books together and non fiction together, so they can be placed as FN or NF, thus two ways.
3 fiction books can be arranged within themselves in 3! Ways.
Similarly nonfiction books in 3! Ways..
Total 2*3!*3!=2*6*6=72
C
General Discussion
Archit3110
Major Poster
15 Nov 2018, 02:36
Kudos
Bookmarks
sahilkak
total ways of arranging nf books and f books in groups is 2 and ways to each arrange is 3! *3!;
so total ways 2*3!*3!= 72 ways option C
