Question

the possible number of ways of 7 dignitaries can seat themselves in seven chairs kept on the stage is:

Answer 1

Answer:

hey mate

Step-by-step explanation:

it's your answer

In a circular arrangement we first have to fix the position for the first person, which can be performed in only one way (since every position is considered same if no one is already sitting on any of the seats), also, because there are no mark on positions.

Now, we can also assume that remaining persons are to be seated in a line, because there is a fixed starting and ending point i.e. to the left or right of the first person.

Once we have fixed the position for the first person we can now arrange the remaining (7−1) persons in (7−1)!=6! ways.

Answer 2

The possible number of ways of 7 dignitaries can seat themselves is 6!

Step-by-step explanation:

Assuming that the dignitaries can seat around a circular table

In a circular arrangement  first we fix the position of first person which can be performed in a only one way

now, we can also assume that remaining persons are to be seated in a line because there is  a fixed starting and ending point

i,e  to the left or right of the first person

once we have fixed the position of first person then ,

remaining can be arranged in a such ways

i.e

(7-1)! = 6!

hence ,  The possible number of ways of 7 dignitaries can seat themselves is 6!

#Learn more:

Five people are going to be seated in a row of seven chairs. How many different ways can they be seated?

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