How many words can be formed using the letters of the word $INSURANCE$,such that all vowels always come together?

In how many ways can a team of $10$ players be selected from $22$ players if $6$ particular players are always to be included and $4$ particular players are always excluded?

Total number of four-digit odd numbers that can be formed using $0, 1, 2, 3, 5, 7$ (repetition allowed) are

How many numbers of five digits can be formed with the digits $0, 1, 2, 3, 5$ and $6$?

$A$ committee of $11$ members is to be formed from $8$ men and $5$ women. If $m$ is the number of ways to form the committee with at least $6$ men and $n$ is the number of ways to form the committee with at least $3$ women,then:

Let $n(A) = 3$ and $n(B) = 3$ (where $n(S)$ denotes the number of elements in set $S$). Then,the number of subsets of $(A \times B)$ having an odd number of elements is: