SOLUTION: how many seating arrangements are possible for 5 children and their mother in a 9 seat van if the mother must be the driver?

Question 351397: how many seating arrangements are possible for 5 children and their mother in a 9 seat van if the mother must be the driver?
Answer by sudhanshu_kmr(1152) (Show Source): You can put this solution on YOUR website!

No. of ways to choose mother for driver = 5C1 = 5
now 5 children and 4 mothers remain
no. of ways to arrange them in 9 seat = 9P9 = 9!

total no. of ways = 5 * 9! = 1814400

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