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If all the words with or without meaning made using all the letters of the word $KANPUR$ are arranged as in a dictionary,then the word at $440^{th}$ position in this arrangement is:

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

Find the number of different $8$-letter arrangements that can be made from the letters of the word $DAUGHTER$ such that all vowels do not occur together.

How many numbers greater than $1000$ but not greater than $4000$ can be formed using the digits $0, 1, 2, 3, 4$ if repetition of digits is allowed?

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How many numbers between $5000$ and $10000$ can be formed using the digits $1, 2, 3, 4, 5, 6, 7, 8, 9$ if no digit is repeated?

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