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The number of natural numbers less than $1000$,in which no two digits are repeated,is:

The number of different $9$-digit numbers that can be formed by rearranging the digits of the number $445577888$ such that the odd digits occupy even positions is:

The number of ways in which the letters of the word $MACHINE$ can be arranged such that the vowels may occupy only odd positions is:

While dialing a telephone number,an old man forgets the last two digits,remembering only that these are different. If he dials the last two digits at random,what is the probability that the number is dialed correctly?

The number of ways in which $5$ boys and $3$ girls can be seated in a row so that each girl is between two boys.

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