HARD
JEE Advanced
IMPORTANT
Earn 100

The total number of three-digit numbers, the sum of whose digits is even, is equal to

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Important Questions on Permutation and Combination

HARD
JEE Advanced
IMPORTANT

The permutations of n objects taken 

(i) At least r objects at a time 

(ii) At most r objects at a time 

(if repetition of the objects is allowed) are respectively

EASY
JEE Advanced
IMPORTANT
How many ten-digit numbers can be written by using the digits 1 and 2 ?
HARD
JEE Advanced
IMPORTANT
A five-digit number divisible by 3 is to be formed using the numerals 0, 1, 2, 3, 4 and 5 without repetition. The total number of ways this can be done is
MEDIUM
JEE Advanced
IMPORTANT
The total number of 9-digit numbers which have all different digits is
MEDIUM
JEE Advanced
IMPORTANT
Eight chairs are numbered 1 to 8. Two women and three men wish to occupy one chair each. First, the women choose the chairs from amongst the chairs marked 1 to 4 and then the men select the chairs from amongst the remaining. The number of possible arrangements is
EASY
JEE Advanced
IMPORTANT
From 4 Officers and 8 Jawans, a committee of 6 is te be chosen to include exactly one officer. The number of such committee is
HARD
JEE Advanced
IMPORTANT
Seven different lecturers are to deliver lectures in seven periods of a class on a particular day. A, B and C are three of the lecturers. The number of ways in which a routine for the day can be made such that A delivers his lecture before B and B before C, is
HARD
JEE Advanced
IMPORTANT
The number of arrangements of letters of the word BANANA in which the two N's do not appear together is