In how many ways a team of $10$ players out of $22$ players can be made if $6$ particular players are always to be included and $4$ particular players are always excluded
$^{22}{C_{10}}$
$^{18}{C_3}$
$^{12}{C_4}$
$^{18}{C_4}$
In how many ways can a girl and a boy be selected from a group of $15$ boys and $8 $ girls
If $\alpha { = ^m}{C_2}$, then $^\alpha {C_2}$is equal to
Number of different words that can be formed from all letters of word $APPLICATION$ such that two vowels never come together is -
The number of words not starting and ending with vowels formed, using all the letters of the word $'UNIVERSITY'$ such that all vowels are in alphabetical order, is
How many different words can be formed by jumbling the letters in the word $MISSISSIPPI$ in which no two $S$ are adjacent $?$