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Find the number of ways in which 3 boys ...

Find the number of ways in which 3 boys and 3 girls can be seated on a line where two particular girls do not want to sit adjacent to a particular boy.

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To solve the problem of seating 3 boys and 3 girls in a line where 2 particular girls (let's say G1 and G2) do not want to sit adjacent to a particular boy (let's say B1), we can break down the solution into several steps. ### Step-by-Step Solution: 1. **Identify Total Arrangements Without Restrictions:** First, calculate the total number of arrangements of 6 people (3 boys and 3 girls) without any restrictions. This is given by: \[ 6! = 720 ...
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