Group Name For Three Girls

$(A)~Total~no.~of~girls~and~boys=3+3=6~and~these~are~arranged~in\\ 6!=720~ways.\\ Ans:~720.\\ (B)~Since~boys~sit~together~so~we~consider~3~boys~as~a~single~group~and~then\\ along~with~3~girls~there~are~4~groups~and~we~can~arrange~these~in~4!\\ =24~ways.\\ Again~boys~can~be~arranged~in~3!=6~ways~within~the~group.~Hence~total\\no.~of~arrangements=6*24=144$

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$(A)~Total~no.~of~girls~and~boys=3+3=6~and~these~are~arranged~in\\ 6!=720~ways.\\ Ans:~720.\\ (B)~Since~boys~sit~together~so~we~consider~3~boys~as~a~single~group~and~then\\ along~with~3~girls~there~are~4~groups~and~we~can~arrange~these~in~4!\\ =24~ways.\\ Again~boys~can~be~arranged~in~3!=6~ways~within~the~group.~Hence~total\\no.~of~arrangements=6*24=144$

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