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I think the ans is 10C2.10C2.8!.9C2.Your first two steps are correct,so,2 toys are left behind after giving one each to 8 members.This is similar to finding no. of solutions to
x1+x2+......+x8=2 where xi 0 for i=1,2,...,8 which gives (8+2-1)C2=9C2
Is my answer correct?
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