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Question
Four objects in a set of ten objects are alike. Find the number of ways of arranging them in a circular order.
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Solution
There are 10 objects.
These 10 objects can be arranged in a circular order in (10 – 1)! = 9! ways.
∴ n = 9!
Out of 10 objects, 4 are alike.
r = 4
∴ Required number of arrangements
= `("n"!)/("r"!)`
= `(9!)/(4!)`
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