SOLUTION: There are 7 students in a class. If there are 3 seats in the front row, how many ways can the students sit in the front row, assuming there are no empty seats?

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Question 1143996: There are 7 students in a class. If there are 3 seats in the front row, how many ways can the students sit in the front row, assuming there are no empty seats?
Found 2 solutions by josmiceli, ikleyn:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
P( 7,3 ) =
P( 7,3 ) =
P( 7,3 ) =
P( 7,3 ) = ways
Use permutations because the order of the seating matters
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

Any of the 7 students may seat at the chair #1        (7 options).


Any of remaining 6 students can seat at the chair #2  (6 options)


Any of remaining 5 students can seat at the chair #3  (5 options)



Thus, in all,  7*6*5 = 210 different ways (placements) are possible.     ANSWER



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