JEE 2023 Mathematics PYQ — The number of ways, in which 5 girls and 7 boys can be seated at … | Mathem Solvex | Mathem Solvex
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JEE 2023 — Mathematics PYQ
JEE | Mathematics | 2023
The number of ways, in which 5 girls and 7 boys can be seated at a round table so that no two girls sit together, is
Choose the correct answer:
A.
7 (720)2
B.
720
C.
7 (360)2
D.
126 (5!)2
(Correct Answer)
Correct Answer:
126 (5!)2
Explanation
We have, Number of girls = 5 Number of boys = 7
So, number of ways of arranging boys around the table =6! And 5 girls can be arranged in 7 gaps in 7P5 ways. ∴ Required no. of ways =6!×7P5 =126×(5!)2
Explanation
We have, Number of girls = 5 Number of boys = 7
So, number of ways of arranging boys around the table =6! And 5 girls can be arranged in 7 gaps in 7P5 ways. ∴ Required no. of ways =6!×7P5 =126×(5!)2
