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Standard XII
Physics
Linear Momentum
There are n...
Question
There are
n
distinct white and
n
distinct black balls. If the number of ways of arranging them in a row so that neighboring balls are of different colors is
1152
then find the value of
′
n
′
.
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Solution
Number of arrangements are
2
n
!
n
!
Given that
2
n
!
n
!
=
1152
⇒
(
n
!
)
2
=
576
⇒
n
!
=
24
⇒
n
=
4
.
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