List of top Mathematics Questions on Permutations

How many words, with or without meaning, can be formed using all the letters of the word EQUATION, using each letter exactly once?

The number of ways in which $r$ letters can be posted in $n$ letter boxes in a town is

The letters of the word MODESTY are written in all possible orders and these words are written out as in a dictionary then the rank of the word MODESTY 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: \\ \\

A committee of 11 members is to be formed from 8 males and 5 females. Let m denotes the number of ways of selecting committee having atleast 6 males and n denotes the number of ways of selecting atleast 3 females then

The number of ways in which $5$ ladies and $7$ gentlemen can be seated in a round table so that no two ladies sit together, is

In a group of 6 boys and 4 girls, a team consisting of four children is formed such that the team has atleast one boy. The number of ways of forming a team like this is

The number of different words that can be formed from the letters of the word so that no vowels are together is :

Total number of words formed by $2$ vowels and $3$ consonants taken from $4$ vowels and $5$ consonants is equal to

The value of $\sum^{n}_{r =1} \frac{^nP_r}{r!} $ is :

The number of ways in which $8$ different flowers can be strung to form a garland so that $4$ particular flowers are never separated is

The number of ways in which a mixed doubles game in tennis can be arranged from 5 married couples, if no husband and wife play in the same game, is

The number of ways in which 4 men and 3 ladies sit at a round table so that no two ladies sit together is

The number of triangles whose vertices are at the vertices of an octagon but none of whose side happen to come from the sides of the octagon is

The number of six digit numbers, whose all digits are odd (i.e., $1 , 3 , 5 , 7 , 9 )$, is

The number of permutations of taking all letters and keeping the vowels of the words in the odd places is

The number of natural numbers less than $1000$ in which no two digits are repeated is

The number of divisors of $9600$ including $1$ and $9600$ are

The letters of the word "LABOUR" are permuted in all possible ways and the words thus formed are arranged as in a dictionary the rank of the word "LABOUR" is