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Write the Number of Ways in Which 5 Boys and 3 Girls Can Be Seated in a Row So that Each Girl is Between 2 Boys ? - Mathematics

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प्रश्न

Write the number of ways in which 5 boys and 3 girls can be seated in a row so that each girl is between 2 boys ?

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उत्तर

B_B_B_B_B

Five boys can be arranged amongst themselves in 5! ways, at the places shown above.
The three girls are now to be arranged in the remaining four places taken three at a time = 4P3 = 4!
By fundamental principle of counting, total number of ways = 5! x 4! = 120 x 24= 2880

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पाठ 16: Permutations - Exercise 16.6 [पृष्ठ ४५]

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आरडी शर्मा Mathematics [English] Class 11
पाठ 16 Permutations
Exercise 16.6 | Q 10 | पृष्ठ ४५

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