Total number of $6-$digit numbers in which only and all the five digits $1,3,5,7$ and $9$ appear, is
$\frac{5}{2}(6 !)$
$5^6$
$\frac{1}{2}(6 !)$
$6!$
Find the number of words with or without meaning which can be made using all the letters of the word $AGAIN$. If these words are written as in a dictionary, what will be the $50^{\text {th }}$ word?
The total number of different combinations of one or more letters which can be made from the letters of the word ‘$MISSISSIPPI$’ is
In how many ways can a committee be formed of $5$ members from $6$ men and $4$ women if the committee has at least one woman
If $^{2n}{C_2}{:^n}{C_2} = 9:2$ and $^n{C_r} = 10$, then $r = $
The total number of ways of selecting six coins out of $20$ one rupee coins, $10$ fifty paise coins and $7$ twenty five paise coins is