Question 945814
Children are all next to each other
Children's arrangements:
{{{ 4*3*2*1 = 24 }}}
Adults arrangements:
{{{ 7*6*5*4*3*2*1 = 5040 }}}
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{{{ 24 + 5040 = 5065 }}}
There is one extra arrangement, and
that is swapping the 2 groups in line:
so, {{{ 24 + 5040 + 1 = 5066 }}}
possible arrangements