In how many ways can 6 people be seated in a circle of 6 chairs? Only relative p
ID: 3006250 • Letter: I
Question
In how many ways can 6 people be seated in a circle of 6 chairs? Only relative positions in the circic can be distinguished. 9.In how many ways can first, second, and third prize in a pie-baking contest be given to 15 contestants? 10.a. Stock designations on an exchange are limited to 3 letters. How many different designations are there? b. How many different designations arc there if letters cannot be repeated? 11.In how many different ways can 19 people be seated in a row? 12.In how many different ways can 11 men and 8 women be seated in a row? 13.In how many different ways can 11 men and X women be seated in a row if the men all sit together and the women all sit together? 14.In how many different ways can 11 men and 8 women be seated in a row if no 2 women are to sit together' 15.In how many different ways can 11 men and 8 women be seated around a circular table? (Only relative positions in the circle can be distinguished.) 16.In how many different ways can 11 men and 8 women be seated around a circular table if no 2 women are to sit together? (Only relative positions in the circle can be distinguished.)Explanation / Answer
(8)
We are given that 6 people be seated in a circle of 6 chairs
6 People in a round table can be seated in (6 - 1) ! ways = 5!
=5*4*3*2*1=120.........Answer
(12)
number of men =11
number of women =8
total number of men and women =11+8=19
so, number of ways of man and woman seating in a row =19! ........Answer
(16)
firstly arrange men, no. of ways to arrange 11 men in a round table= 10!
now, each woman will sit between two men. total space = 8 i.e M W M W M...
now, no. of ways to sit 8 women on 8 places= 8!
total no. of ways = 10! * 7! .........Answer