हिंदी

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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प्रश्न

Four objects in a set of ten objects are alike. Find the number of ways of arranging them in a circular order.

योग
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उत्तर

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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अध्याय 6: Permutations and Combinations - Exercise 6.5 [पृष्ठ ८५]

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बालभारती Mathematics and Statistics (Commerce) Part 2 [English] Standard 11 Maharashtra State Board
अध्याय 6 Permutations and Combinations
Exercise 6.5 | Q 9 | पृष्ठ ८५

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