How many numbers lying between $99$ and $1000$ can be formed using the digits $2, 3, 7, 0, 8, 6$ if each digit is used only once in each number?

If four-letter words (need not be meaningful) are to be formed using the letters from the word $MEDITERRANEAN$ such that the first letter is $R$ and the fourth letter is $E$,then the total number of such words is

The number of natural numbers less than $500$ in which no two digits are repeated is

Eight chairs are numbered $1$ to $8$. Two women and three men wish to occupy one chair each. First,the women choose chairs from amongst the chairs marked $1$ to $4$,and then the men select the chairs from amongst the remaining. The number of possible arrangements is

There are $5$ roads from a village to a city. In how many different ways can a villager go to the city and return back?

The letters of the word '$MANKIND$' are written in all possible orders and arranged in serial order as in an English dictionary. Then the serial number of the word '$MANKIND$' is $.....$