Problem Statement:- In a Conference ,attendees are invited for a dinner after the conference.TheCo-ordinator,Sagar arranged around round tables for dinner and want to have an impactfulseating experience for the attendees.Before finalizing the seating arrangement,he wants toanalyze all the possible arrangements.These are R round tables and N attendees.In case where Nis an exact multiple of R,the number of attendees must be exactly N//R,,If N is not an exactmultiple of R, then the distribution of attendees must be as equal as possible.Please refer to theexample section before for better understanding.For example, R = 2 and N = 3All possible seating arrangements are(1,2) & (3)(1,3) & (2)(2,3) & (1)Attendees are numbered from 1 to N.Input Format:● The first line contains T denoting the number of test cases.● Each test case contains two space separated integers R and N, Where R denotes thenumber of round tables and N denotes the number of attendees.Output Format:Single Integer S denoting the number of possible unique arrangements.Constraints:● 0 <= R <= 10(Integer)● 0 < N <= 20 (Integer)Sample Input 1:12 5Sample Output 1:10Explanation:R = 2, N = 5(1,2,3) & (4,5)(1,2,4) & (3,5)(1,2,5) & (3,4)(1,3,4) & (2,5)(1,3,5) & (2,4)(1,4,5) & (2,3)(2,3,4) & (1,5)(2,3,5) & (1,4)(2,4,5) & (1,3)(3,4,5) & (1,2)Arrangements like(1,2,3) & (4,5)(2,1,3) & (4,5)(2,3,1) & (4,5) etc.But as it is a round table,all the above arrangements are same.

Collegues and Movie    N colleague are planning to go to a movie. One among them suggested few movies and all others started to discuss and finally they selected a movie. One among them quickly booked their tickets online, to their surprise they are unable to select their seats. All of them got confused. Then any how, decided to go to the movie. They rushed to reach the theater on time. Again they are surprised that no one was there in the theater. They are the only people about to watch the movie. There is 'r' number of seats in which, 'n' number persons should sit. In how many ways they can sit inside the theater?    Given the number of people 'n' and the number of seats 'r' as  input. The task is to find the different number of ways in which 'n' number of people can be seated in those 'r' number of seats.Constraints:NAExample:Sample Input:5 3Sample Output:60Explanation: 60 is the total number of ways in which ‘n’ people can be seated  in ‘r’ seats.P(n,r) =P(5,3) = 5! /(5-3)!  =  5! / ( 5 - 3 )! = 120 / 2 = 60

. There is meeting of 20 delegates that is to be held in a hotel. In how many ways these delegates can be seated along a round table, if three particular delegates always seat together? 17! 3! 18! 3! 17! 4! 18! 4!

A group of 5 employees and 3 leaders want to do a group meeting. They have decided to sit around a circular table such that all leaders will sit together. Find the number of ways in which employees can sit around a circular table such that all leaders will sit together.7201205,0402,520

tudy the following information carefully and answer the questions given below. Eight persons A, B, C, D, M, N, O and P are sitting around a circular table facing the center with equal distances between each other (not necessarily in the same order). Each one of them is also related to N in some way or the other. 1) Only three persons sit between B and N. 2) Only one person sits between N and P. N's father sits to the immediate right of P. 3) N's sister sits third to the right of N's father. Only one person sits between N's sister and N's son. 4) M sits third to the left of N's son. Only three persons sit between M and N's husband. 5) A sits second to the right of N's husband. N's mother sits to the immediate right of C. C is not the husband of N. 6) N's daughter sits third to the right of P. 7) D sits to the immediate left of N's brother. Q3) How is B related to A?Choices:- Grand-mother Grand-father Grand-son Grand-daughter

Read the following description of a relationship:A school is ordering chairs for the teacher's lounge and some of the classrooms. Each classroom needs 29 chairs, while the teacher's lounge needs 19.Let n represent the number of classrooms included in the order and c represent the total number of chairs.Complete the table using the relationship between n and c.n c1 4 9 10