List of top Mathematics Questions on permutations and combinations asked in JEE Main

The total number of six digit numbers, formed using the digits 4,5,9 only and divisible by 6 , is __

If ${ }^{2 n+1} P _{n-1}:{ }^{2 n-1} P _n=11: 21$, then $n^2+n+15$ is equal to :

The number of ways to distribute 20 chocolates among three students such that each student gets atleast one chocolate is

If 2nC3 : nC3 = 10, then \(\frac{n^{2}+3n}{n^{2}-3n+4}\) is equal to

Find all the four letter words with two vowels and 2 consonants from the word UNIVERSE?
Rank of the word PUBLIC is?

Find out the rank of MONDAY in English dictionary if all alphabets are arranged in order?

The total number of three-digit numbers, divisible by 3, which can be formed using the digits 1,3,5,8, if repetition of digits is allowed, is

Using all the letters of the word MATHS, then rank of the word THAMS is:
5 boys with allotted roll numbers and seat numbers are seated in such a way that no one sits on the allotted seat. The number of such seating arrangements is?
If the number of ways in which a mixed double badminton can be played such that no couples played into a same game is 840. Then find the number of players?
Using the number 1, 2, 3 ... 7, total numbers of 7 digit number which does not contain string 154 or 2367 is (Repetition is not allowed)

If the number of words, with or without meaning, which can be made using all the letters of the word MATHEMATICS in which C and S do not come together, is (6!)k , is equal to

If ${ }^{2 n+1} P _{n-1}:{ }^{2 n-1} P _n=11: 21$, then $n^2+n+15$ is equal to :
The number of five-digit numbers, greater than 40000 and divis ible by 5, which can be formed using the digits 0, 1, 3, 5, 7, and 9 without repetition, is equal to:
Eight persons are to be transported from city A to city B in three cars of different makes. If each car can accommodate at most three persons, then the number of ways in which they can be transported is:

Maximum value n such that (66)! is divisible by 3n

In an examination, 5 students have been allotted their seats as per their roll numbers. The number of ways, in which none of the students sit on the allotted seat, is:
The number of triplets \( (x, y, z) \), where \( x, y, z \) are distinct non-negative integers satisfying \( x + y + z = 15 \), is:
The number of ways of giving 20 distinct oranges to 3 children such that each child gets at least one orange is______ 
All the letters of the word PUBLIC are written in all possible orders and these words are written as in a dictionary with serial numbers. Then the serial number of the word PUBLIC is:
All words, with or without meaning, are made using all the letters of the word MONDAY. These words are written as in a dictionary with serial numbers. The serial number of the word MONDAY is
The number of 3 digit numbers, that are divisible by either 3 or 4 but not divisible by 48, is
The letters of the word OUGHT are written in all possible ways and these words are arranged as in a dictionary, in a series. Then the serial number of the word TOUGH is
Total numbers of 3-digit numbers that are divisible by 6 and can be formed by using the digits 1, 2, 3, 4, 5 with repetition, is___.