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Question Number 21766 by Tinkutara last updated on 03/Oct/17
$$\mathrm{There}\:\mathrm{are}\:\mathrm{3}\:\mathrm{apartments}\:{A},\:{B}\:\mathrm{and}\:{C}\:\mathrm{for} \\ $$$$\mathrm{rent}\:\mathrm{in}\:\mathrm{a}\:\mathrm{building}.\:\mathrm{Each}\:\mathrm{apartment}\:\mathrm{will} \\ $$$$\mathrm{accept}\:\mathrm{either}\:\mathrm{3}\:\mathrm{or}\:\mathrm{4}\:\mathrm{occupants}.\:\mathrm{The} \\ $$$$\mathrm{number}\:\mathrm{of}\:\mathrm{ways}\:\mathrm{of}\:\mathrm{renting}\:\mathrm{the} \\ $$$$\mathrm{apartments}\:\mathrm{to}\:\mathrm{10}\:\mathrm{students} \\ $$
Answered by mrW1 last updated on 03/Oct/17
$$\mathrm{C}_{\mathrm{2}} ^{\mathrm{3}} =\mathrm{C}_{\mathrm{1}} ^{\mathrm{3}} =\mathrm{3} \\ $$$$\mathrm{A3}/\mathrm{B3}/\mathrm{C4} \\ $$$$\mathrm{A3}/\mathrm{B4}/\mathrm{C3} \\ $$$$\mathrm{A4}/\mathrm{B3}/\mathrm{C3} \\ $$
Commented by Tinkutara last updated on 03/Oct/17
$$\mathrm{Thank}\:\mathrm{you}\:\mathrm{very}\:\mathrm{much}\:\mathrm{Sir}!\:\mathrm{Rest}\:\mathrm{I}\:\mathrm{solved}. \\ $$