Symbiosis National Aptitude Test SNAP 2019 Paper

Question : 41 of 110

Marks: +1, -0

In how many ways can 10 books on Mechanics and 8 books on quantum physics be placed in a row such that two books on quantum physics may not be together.

Validate

Solution:

10 books on Mechanics can be arrange in following ways.

–M_1–M_2–M_3–M_4–M_5–M_6–M_7–M_8–M_9–M_{10}–

It quantum physics are placed at my vacent place (marked by '–') then no two quantum physics books will be placed together.
Number of ways

\,↖{11}C_8

{11×10×9}/{3×2}

= 165

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