Published by:
CGP EDU Academic Team
Published on: August 14, 2026
There are 10 seats in the first row of a theatre of which 4 are to be occupied. The number of ways of arranging 4 persons so that no two persons sit side by side is:
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(b,c,d)
x 1 + x 2 + x 3 + x 4 + x 5 = 6 ⇒ x 1 + y 1 + y 2 + y 3 + x 5 = 3
but x 1 , x 5 ≥ 0
x 2 , x 3 , x 4 ≥ 1 ⇒ y 1 , y 2 , y 3 ≥ 0
3 + 5 – 1 C 3 . 4 ! = 7 C 3 . 4 ! = 7 p 3 . 4 = 840
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