# in a group photograph 3 boys and 2 girls stand in a line in all possible ways . How many photos could be taken if each photo corresponds to each such arrangement

Please find below the solution to the asked query:

$\mathrm{We}\mathrm{have}3\mathrm{boys}\mathrm{and}2\mathrm{girls}.\phantom{\rule{0ex}{0ex}}\mathrm{Total}\mathrm{people}=3+2=5\phantom{\rule{0ex}{0ex}}\mathrm{Number}\mathrm{of}\mathrm{ways}\mathrm{to}\mathrm{arrange}5\mathrm{people}\mathrm{in}\mathrm{a}\mathrm{line}=5!\phantom{\rule{0ex}{0ex}}=5\times 4\times 3\times 2\times 1\phantom{\rule{0ex}{0ex}}=\mathbf{120}\mathbf{}\left(\mathbf{Answer}\right)$

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