HARD
JEE Advanced
IMPORTANT
Earn 100

The number of words of four letters containing equal number of vowels and consonants, repetition allowed, is:

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Important Questions on Permutation and Combination

EASY
JEE Advanced
IMPORTANT
There are three teams each of a chairman, a supervisor and a worker of three different companies. There are nine bonuses of different denominations to be paid to these nine persons in all. In how many ways can this be done with due respect to superiority given in every team?
MEDIUM
JEE Advanced
IMPORTANT
If two numbers are selected from numbers 1 to 25, then the number of ways that their difference does not exceed 10 is
HARD
JEE Advanced
IMPORTANT
The number of ways in which a mixed double game can be arranged amongst 9 married couples, if no husband and wife play in the same game, is
MEDIUM
JEE Advanced
IMPORTANT
In a certain test, there are n questions. In this test, 2n-i students gave wrong answers to at least i questions, where i=1, 2 ,,n. If the total number of wrong answers given is 2047, then n is equal to
HARD
JEE Advanced
IMPORTANT
The number of natural numbers which are less than 2·108 and which can be written by means of the digit 1 and 2, is
HARD
JEE Advanced
IMPORTANT

The number of times digit 3 will be written when listing the integer from 1 to 1000 is

HARD
JEE Advanced
IMPORTANT
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
HARD
JEE Advanced
IMPORTANT
The number of permutations of the letters of the word HINDUSTAN such that neither the pattern HIN nor DUS nor TAN appear, are