M L Aggarwal Solutions for Chapter: Permutations and Combinations, Exercise 6: EXERCISE 8.6

How many selections of $4$ books can be made from $8$ different books?

What is number of ways of selecting $4$ cards from a pack of $52$ cards which include exactly one red queen?

In how many ways can a football team of $11$ players be selected from $16$ players?

In how many ways can a football team of $11$ players be selected from $16$ players such that $2$ particular players are always excluded?

How many diagonals are there in a polygon with $n$ sides?

How many words can be formed out of $5$ different consonants and $4$ different vowels if each word is to contain $3$ consonants and $2$ vowels?

How many words with or without meaning, each of $2$ vowels and $3$ consonants can be formed from the letters of the word $\text{'}\mathrm{HONESTY}\text{'}?$ Write the importance of $\mathrm{HONESTY}$ in our life.

How many words, with or without meaning, each consisting of $3$ vowels and $2$ consonants can be formed from the letters of the word $\mathrm{INVOLUTE}$?