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  4. 5 boys and 3 girls are sitting in a row of 8 seats . Number of ways in which they can be seated so that not all the girls sit side by side is :

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Q. 5 boys and 3 girls are sitting in a row of 8 seats . Number of ways in which they can be seated so that not all the girls sit side by side is :

Permutations and Combinations

Solution:

$8 ! - 6 ! \,3 !$