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In how many different ways can 3 fiction books and 3 non-fic
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19 Nov 2019, 11:44
19 Nov 2019, 11:44
00:00
Question Stats:
75% (00:30) correct
25% (00:42) wrong based on 24 sessions
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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
Re: In how many different ways can 3 fiction books and 3 non-fic
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19 Nov 2019, 14:05
19 Nov 2019, 14:05
Expert Reply
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
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
Re: In how many different ways can 3 fiction books and 3 non-fic
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21 Nov 2019, 00:35
21 Nov 2019, 00:35
nice one!
