R D Sharma Solutions for Chapter: Permutations, Exercise 4: EXERCISE 16.4

How many words can be formed using the letters of the word $‘\mathrm{SUNDAY}’$. How many of those letters begin with $\mathrm{D}$.

How many different words can be formed using the letters of the word $\text{'}\mathrm{GANESHPURI}\text{'}$. In how many of the words, letter $\mathrm{G}$ always occupies the first place.

In how many of the words the vowels are always together in the word $\text{'}\mathrm{GANESHPURI}\text{'}$.

In how many of these words the vowels always occupy even places in the word $\text{'}\mathrm{GANESHPURI}\text{'}$.

How many permutations can be formed by the letters of the word $‘\mathrm{VOWELS}’$, if there is no restriction on letters?

How many permutations can be formed by the letters of the word, $‘\mathrm{VOWELS}’$, when each word begins with $\mathrm{E}$?

How many permutations can be formed by the letters of the word, $‘\mathrm{VOWELS}’$, when each word begins with $\mathrm{O}$ and ends with $\mathrm{L}$?

How many permutations can be formed by the letters of the word, $‘\mathrm{VOWELS}’$, when all vowels come together?