HARD
JEE Advanced
IMPORTANT
Earn 100
Five balls of different colours are to be placed in three boxes of different sizes. Each box can hold all five balls. The number of ways in which we can place the balls in the boxes (order is not considered in the box ) so that no box remains empty is
50% studentsanswered this correctly
Important Questions on Permutation and Combination
HARD
JEE Advanced
IMPORTANT
The number of permutations of the letters of the word such that neither the pattern nor nor appear, are
EASY
JEE Advanced
IMPORTANT
Two teams are to play a series of matches between them. A match ends in a win or 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 people, where is
EASY
JEE Advanced
IMPORTANT
In a class of students, every student had a handshake with every other student. The total number of handshakes were
MEDIUM
JEE Advanced
IMPORTANT
There are 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
EASY
JEE Advanced
IMPORTANT
The number of ways in which a couple can sit around a circular table with guests, if the couple take consecutive seats, is
MEDIUM
JEE Advanced
IMPORTANT
The number of different garlands, that can be formed using flowers of one kind and flowers of other kind, is
EASY
JEE Advanced
IMPORTANT
In the next world cup of cricket, there will be teams, divided equally in two groups. Teams of each group will play a match against each other. From each group top teams will qualify for the next round. In this round each team will play against others once. Four top teams of this round will qualify for the semi-final round, where each team will play against the other three. Two top teams of this round will go to the final round, where they will play the best of three matches. The minimum number of matches in the next world cup will be
EASY
JEE Advanced
IMPORTANT
The value of when numerator and denominator takes their greatest value, is
