If there are n number of seats and m number of people have to be seated, then the number of possible ways to do this is (here, m n )

Question

If there are n number of seats and m number of people have to be seated, then the number of possible ways to do this is (here, m n ), n P m, n C m, n C n × ( m - 1 ) !, n - 1 P m - 1

MARKS App · Accepted Answer

∵ Total number of seats = n and number of people = m 1 st person can be seated in n ways 2 nd person can be seated in n - 1 ways ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ ⋯ m th person can be seated in n - m + 1 w a y s ∴ Total number of ways = n n - 1 n - 2 … n - m + 1 = n P m

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