HARD
JEE Advanced
IMPORTANT
Earn 100

The total number of three-digit numbers, the sum of whose digits is even, is equal to
(a)
(b)
(c)
(d)
(e)None of these

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Important Questions on Permutation and Combination
HARD
JEE Advanced
IMPORTANT
The permutations of objects taken
At least objects at a time
At most 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 and

HARD
JEE Advanced
IMPORTANT
A five-digit number divisible by is to be formed using the numerals and without repetition. The total number of ways this can be done is

MEDIUM
JEE Advanced
IMPORTANT
The total number of -digit numbers which have all different digits is

MEDIUM
JEE Advanced
IMPORTANT
Eight chairs are numbered to . Two women and three men wish to occupy one chair each. First, the women choose the chairs from amongst the chairs marked to and then the men select the chairs from amongst the remaining. The number of possible arrangements is

EASY
JEE Advanced
IMPORTANT
From Officers and Jawans, a committee of 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. and are three of the lecturers. The number of ways in which a routine for the day can be made such that delivers his lecture before and before , is

HARD
JEE Advanced
IMPORTANT
The number of arrangements of letters of the word in which the two do not appear together is
