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A-room-has-5-doors-if-a-person-enters-through-a-dooor-that-person-cannot-leave-through-that-same-door-Find-the-number-of-ways-that-person-can-enter-and-leave-that-room-




Question Number 136000 by physicstutes last updated on 17/Mar/21
A room has 5 doors, if a person enters through a dooor,  that person cannot leave through that same door. Find the number   of ways that person can enter and leave that room.
$$\mathrm{A}\:\mathrm{room}\:\mathrm{has}\:\mathrm{5}\:\mathrm{doors},\:\mathrm{if}\:\mathrm{a}\:\mathrm{person}\:\mathrm{enters}\:\mathrm{through}\:\mathrm{a}\:\mathrm{dooor}, \\ $$$$\mathrm{that}\:\mathrm{person}\:\mathrm{cannot}\:\mathrm{leave}\:\mathrm{through}\:\mathrm{that}\:\mathrm{same}\:\mathrm{door}.\:\mathrm{Find}\:\mathrm{the}\:\mathrm{number}\: \\ $$$$\mathrm{of}\:\mathrm{ways}\:\mathrm{that}\:\mathrm{person}\:\mathrm{can}\:\mathrm{enter}\:\mathrm{and}\:\mathrm{leave}\:\mathrm{that}\:\mathrm{room}. \\ $$
Answered by liberty last updated on 17/Mar/21
5×4=20
$$\mathrm{5}×\mathrm{4}=\mathrm{20} \\ $$

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