1.

Five boys and five girls from a line. Find the number of ways of making the seating arrangement under the following condition:

Answer» (i) Boys and girls alternate
total arrangement `= (5"!")^(2) + (5"!")^(2)`
(ii) No two girls sit together `= 5"!"6"!"`
(iii) All the girls sit together `= 2"!" 5"!" 5"!"`
(iv) All the girls are never together `= 10"!" - 5"!" 6"!"`


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