How Many Ways Can 12 People Be Seated?
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So there are 2 ways of filling the next seat for each of the 3 ways to fill the first seat, giving us 2 * 3 = 6 possible ways of filling the two seats altogether: With two seats taken, the one last person left standing takes the last seat.
Why are we not counting people in seat arrangements?
Reply to Emory Richardson’s post “Okay, so this makes sense, but what’s a good expla…” Comment on Emory Richardson’s post “Okay, so this makes sense, but what’s a good expla…” Posted 6 years ago. Direct link to Maryna Nka’s post “Notice that we’re not counting people here, or cha…” Notice that we’re not counting people here, or chairs.
How to count the number of seats in a room?
If you have 5 people and 8 seats where order matters, you can put the first person in any of the 8 seats (put any of the 8 seats under person 1), the second person in any of the remaining 7 (put any of the remaining seven seats under the second person), etc. This gives 8*7*6*5*4=8!/3!= 8 P 5