In how many ways can $5$ red and $4$ white balls be drawn from a bag containing $10$ red and $8$ white balls
$^8{C_5}{ \times ^{10}}{C_4}$
$^{10}{C_5}{ \times ^8}{C_4}$
$^{18}{C_9}$
None of these
If $^{{n^2} - n}{C_2}{ = ^{{n^2} - n}}{C_{10}}$, then $n = $
The number of ways of choosing $10$ objects out of $31$ objects of which $10$ are identical and the remaining $21$ are distinct, is
The total number of different combinations of one or more letters which can be made from the letters of the word ‘$MISSISSIPPI$’ is
How many different words can be formed by jumbling the letters in the word $MISSISSIPPI$ in which no two $S$ are adjacent $?$
A man has $7$ friends. In how many ways he can invite one or more of them for a tea party