Permutations and combinations - Quantitative Aptitude (MCQ) questions for Q. 20650

Q.  On a shelf, 2 books of Geology, 2 books of Sociology and 5 of Economics are to be arranged in such a way that the books of any subject are to be together. Find in how many ways can this be done?
- Published on 07 Jul 17

a. 3846
b. 2880
c. 900
d. 90
e. None of these

ANSWER: 2880
 
There are books of 3 subjects (Geology, Sociology and Economics), hence they can be arranged in 3! (3 * 2 * 1) = 6 ways.
Further, in each category (subject), books are to be arranged in different order, we get,
Required number of ways: 3! * [2! * 2! * 5!] = 2880

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