Where would you sit in the bus ?

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AI Thread Summary
There are four people and six empty seats on a bus, leading to a combinatorial seating problem. The calculation involves arranging the four individuals in the six available seats. The correct approach is to use permutations, specifically 6P4, which results in 360 combinations. This is derived from the fact that there are 6 options for the first person, 5 for the second, 4 for the third, and 3 for the fourth. The conclusion confirms that the total number of seating arrangements is 360.
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Homework Statement


If there are 4 people and six empty seats . in how many ways can they be seated ?

Homework Equations

The Attempt at a Solution


Is it 6P4 6*5*4*3 = 360 combinations ?
 
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I concur.
 
Put the four people in whatever order you like. There are 6 places to seat the first person, then 5 for the second person, 4 for the third person and, finally, 3 places left to seat the fourth person- 6(5)(4)(3)= 360.
 
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