Q.1
There are 3 different ways to go from delhi to Mumbai , there are 4 different ways to go from Mumbai to Chennai . how many ways are total to go from delhi to Chennai or Mumbai ?

Q.2
What is the value of ${}^{12}{P}_{4}$ ?

Q.3
What is the value of ${}^{75}{P}_{2}$ ?

Q.4
What is the value of ${}^{6}{P}_{6}$ ?

Q.5
If ${}^{n}{P}_{4}=54{×}^{\left(n-2\right)}{P}_{2}$ then what is the value of n?

Q.6
How much the value of $\frac{23!}{\left(20!×3!\right)}$ ?

Q.7
If ${}^{11}{P}_{r}{=}^{12}{P}_{\left(r-1\right)}$ then what will be the value of r?

Q.8
$\frac{1.3.5....\left(2n-1\right)}{2.4.6....\left(2n\right)}=?$

Q.9
what is the value of $\left({}^{10}{C}_{4}{+}^{10}{C}_{5}\right)$ ?

Q.10
By a word LOGARITHMS how many different word of 4 digits can become whiles words are not repeated ?

Q.11
how many different words can become to the all letters of DELHI while every word has use a letter only one time ?

Q.12
' How many words can become to the all letters of EQUATION while in each word one letter has only once ?

Q.13
How many types 5 peoplecan sit on 3 empty seats ?

Q.14
How many ways 5 children can stand in a row?

Q.15
5 men and 4 women have to stood in a row,like that so that women are at even-places.  how many order can be made?

Q.16
How many numbers will become with different digits of 3 digits ?

Q.17
How many ways 6 letters can be inserted into 5 letter boxes?

Q.18
How many words can be made from the letters of the word DAUGHTER while all vowels are together?

Q.19
How many words can be made from the letters of the word DAUGHTER while no two vowels are not together?

Q.20
How many permutations of the letters of the word will BANANA?

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