# suppose one of the six is a doctor who must sit on the aisle in case she is paged. how many ways can the people be seated together

suppose one of the six is a doctor who must sit on the aisle in case she is paged. how many ways can the people be seated together in the row with the doctor in an aisle seat?

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1. mocmien2
We make use of permutation formula to find out that there are a total of 240 ways in which the people can be seated together in the row with the doctor in an aisle seat.
It is given to us that –
There are six people
One of the six is a doctor who must sit on the aisle in case she is paged.
We have to find out the number of ways in which the people can be seated together in the row with the doctor in an aisle seat.
From the given information it is known that the doctor is seated in an aisle seat.
So, the doctor can be seated in the extreme left side of the aisle. This implies that in this case, the total ways to be seated = 5!.
Similarly, it can also be said that the doctor can be seated in the extreme right side of the aisle. This implies that in this case, the total ways to be seated = 5!.
Thus, the total number of ways in which the people can be seated together in the row with the doctor in an aisle seat = 2 * 5!
= 2 * 5 * 4 * 3 * 2 * 1
= 240 ways
Therefore, through permutation we can conclude that there are a total of 240 ways in which the people can be seated together in the row with the doctor in an aisle seat.