मराठी

In How Many Ways Can 4 Red, 3 Yellow and 2 Green Discs Be Arranged in a Row If the Discs of the Same Colour Are Indistinguishable? - Mathematics

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प्रश्न

In how many ways can 4 red, 3 yellow and 2 green discs be arranged in a row if the discs of the same colour are indistinguishable?

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उत्तर

Number of red discs = 4
Number of yellow discs = 3
Number of green discs = 2
Total number of discs = 9
Total number of arrangements = Number of arrangements of 9 things of which 4 are similar to the first kind, 3 are similar to the second kind and 2 are similar to the third kind =\[\frac{9!}{4!3!2!}\]= 1260

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Factorial N (N!) Permutations and Combinations
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पाठ 16: Permutations - Exercise 16.5 [पृष्ठ ४३]

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आरडी शर्मा Mathematics [English] Class 11
पाठ 16 Permutations
Exercise 16.5 | Q 18 | पृष्ठ ४३

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