EASY
NDA & NA EE
IMPORTANT
Earn 100

Seven women and seven men are to sit around a circular table such that there is a man on either side of every woman, then the number of seating arrangements is

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Important Questions on Permutation and Combination

HARD
NDA & NA EE
IMPORTANT
The number of ways of choosing a committee of two women and three men from five women and six men, if Mr. A refuses to serve on the committee if Mr. B is a member and Mr. B can only serve, if Miss C is the member of the committee is
HARD
NDA & NA EE
IMPORTANT
There are several tea cups in the kitchen, some with handles and the others without handles. The number of ways of selecting two cups without a handle and three with a handle is exactly 1200. What is the maximum possible number of cups in the kitchen?
MEDIUM
NDA & NA EE
IMPORTANT
Two teams are to play a series of five matches between them. A match ends in a win, loss or draw for a team. A number of people forecast the result of each match and no two people make the same forecast for the series of matches. The smallest group of people in which one person forecasts correctly for all the matches will contain n people, where n is
MEDIUM
NDA & NA EE
IMPORTANT
There are n points in a plane, no three being collinear except m of them which are collinear. The number of triangles that can be drawn with their vertices at three of the given points is
MEDIUM
NDA & NA EE
IMPORTANT
A parallelogram is cut by two sets of n parallel lines, parallel to the sides of the parallelogram. The number of parallelograms so formed is
MEDIUM
NDA & NA EE
IMPORTANT
There are five cities A, B, C, D, E on a certain island. Each city is connected to every other city by road. In how many ways can a person starting from city A come back to A after visiting some cities without visiting a city more than once and without taking the same road more than once? (The order in which he visits the cities also matters: e.g., the routes ABCA and ACBA are different)
MEDIUM
NDA & NA EE
IMPORTANT
How many times does the digit 3 appear while writing the integers from 1 to 1000?
EASY
NDA & NA EE
IMPORTANT
The value of C07+C17+C17+C27++C67+C77 is