5 boys and 3 girls are to be seated on chairs arranged in row. If the arrangement is made at random. Find the probability that no two girls will be seated next to one another
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first bench is two girls
second bench is one girl and one boy
third bench is two boys
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5 boys + 3 girls = 8 total
total arrangement = 8! = 40320
arranging for not next to other = 5! × 6p3
= 120 × 120 = 14400
ans = 14400/40320 = 5/14
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