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Question

# 6 boys and 3 girls are randomly placed in a row. Determine the probability of no two girls being placed adjacently.

A
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B
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C
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D
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Solution

## The correct option is B The number of ways that no two girls are placed together is the number of ways in which 3 places marked with G are selected out of the SEVEN places. ___B___B___B___B____B____B____ This can be done in 7C3 ways. Total no. of ways in which balls can be arranged = 10!(7!×3!) = 10C3. So, required probability = 7C310C3 = 724. Hence option(b)

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