The total number of different combinations of one or more letters which can be made from the letters of the word '$MISSISSIPPI$' is

How many odd numbers of four digits can be formed with the digits $0, 1, 2, 3, 4, 7$ and $8$?

The number of $7$-digit numbers which can be formed using the digits $1, 2, 3, 2, 3, 3, 4$ is:

The number of ways in which $6$ distinct rings can be worn on the $4$ fingers of one hand is:

The number of four-letter words that can be formed from the letters of the word '$MAYANK$' such that both '$A$'s are included but never together is equal to:

If $a$ denotes the number of permutations of $x + 2$ things taken all at a time,$b$ the number of permutations of $x$ things taken $11$ at a time,and $c$ the number of permutations of $x - 11$ things taken all at a time such that $a = 182bc$,then the value of $x$ is