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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 all the letters of the word $MOST$ are permuted and the words (with or without meaning) thus obtained are arranged in the dictionary order,then the rank of the word $STOM$ when counted from the rank of the word $MOST$ is:

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

In how many of the distinct permutations of the letters in $MISSISSIPPI$ do the four $I$'s not come together?

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What is the rank of the word "$MOTHER$" when all possible words are formed using all its letters and arranged as in a dictionary?

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