AP EAMCET · Maths · Permutation Combination
There are 6 different novels and 3 different poetry books on a table. If 4 novels and 1 poetry book are to be selected and arranged in a row on a shelf such that the poetry book is always in the middle, then the number of such possible arrangements is
- A 270
- B 180
- C 540
- D 1080
Answer & Solution
Correct Answer
(D) 1080
Step-by-step Solution
Detailed explanation
Number of ways 4 novels can be selected out of 6 novels \(-{ }^6 C_4\) and number of ways 1 poctry book can be selected out of \(3={ }^3 C_1\) Number of arrangements can be made with 4 novels and 1 poetry book keeping poetry book in the middle \(=4\) ! \(\therefore\) Total…
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