How many words,with or without meaning,each of $2$ vowels and $3$ consonants can be formed from the letters of the word $DAUGHTER$?

Words of length $10$ are formed using the letters $A, B, C, D, E, F, G, H, I, J$. Let $x$ be the number of such words where no letter is repeated,and let $y$ be the number of such words where exactly one letter is repeated twice and no other letter is repeated. Then,$\frac{y}{9x} =$

How many words,with or without meaning,can be formed using all the letters of the word $EQUATION$ at a time so that the vowels and consonants occur together?

If all the words,with or without meaning,are written using the letters of the word $QUEEN$ and are arranged as in an English dictionary,then the position of the word $QUEEN$ is (in $^{th}$)

If ${}^n{P_5} = 20 \times {}^n{P_3}$,then $n = $

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?