SOLUTION: If 5 books of English, 4 books of Tamil and 3 books of Hindi are to be arranged in a single row so that books of same language come together a) 1,80,630 b) 1,60,830 c) 1,03

Algebra ->  Probability-and-statistics -> SOLUTION: If 5 books of English, 4 books of Tamil and 3 books of Hindi are to be arranged in a single row so that books of same language come together a) 1,80,630 b) 1,60,830 c) 1,03      Log On


   

Question 973794: If 5 books of English, 4 books of Tamil and 3
books of Hindi are to be arranged in a single
row so that books of same language come
together
a) 1,80,630 b) 1,60,830
c) 1,03,680 d) 1,30,680
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The set of 5 books of English can be arranged
5%21=5%2A4%2A3%2A2 different ways.
The set of 4 books of Tamil can be arranged
4%21=4%2A3%2A2 different ways.
The set of 3 books of Hindi can be arranged
3%21=3%2A2 different ways.
The 3 sets can be arranged in 3%21=3%2A2 different orders on the shelf.
The total number of arrangements possible is
5%21%2A4%21%2A3%21%2A3%21=103680