Advertisements
Advertisements
Question
Delegates from 24 countries participate in a round table discussion. Find the number of seating arrangements where two specified delegates are always together.
Solution
Delegates of 24 countries are to participate in a round table discussion such that two specified delegates are always together.
Let us consider these 2 delegates as one unit.
They can be arranged among themselves in 2! ways.
Also, these two delegates are to be seated with 22 other delegates (i.e. total 23) which can be done in (23 − 1)! = 22! ways
∴ Total number of arrangement if two specified delegates are always together
= 22! × 2!
APPEARS IN
RELATED QUESTIONS
Delegates from 24 countries participate in a round table discussion. Find the number of seating arrangements where two specified delegates are never together.
Five men, two women, and a child sit around a table. Find the number of arrangements where the child is seated between the two women.
Five men, two women, and a child sit around a table. Find the number of arrangements where the child is seated between two men.
Eight men and six women sit around a table. How many of sitting arrangements will have no two women together?
Fifteen persons sit around a table. Find the number of arrangements that have two specified persons not sitting side by side.
Find the number of ways of distributing n balls in n cells. What will be the number of ways if each cell must be occupied?
Thane is the 20th station from C.S.T. If a passenger can purchase a ticket from any station to any other station, how many different ticket must be available at the booking window?
How many numbers formed using the digits 3, 2, 0, 4, 3, 2, 3 exceed one million?
Find n if 6P2 = n 6C2
Find x if nPr = x nCr
Select the correct answer from the given alternative
There are 10 persons among whom two are brothers. The total number of ways in which these persons can be seated around a round table so that exactly one person sits between the brothers is equal to:
Answer the following:
Capital English alphabet has 11 symmetric letters that appear same when looked at in a mirror. These letters are A, H, I, M, O, T, U, V, W, X, and Y. How many symmetric three letter passwords can be formed using these letters?
In a kabaddi championship, there were played 136 matches. Every team played one match with each other. The number of teams participating in the championship is ______
If `""^("n" - 1)"P"_4 : ""^"n""P"_5` = 1 : 6, then n = ______.
