There are $15$ persons in a party and each person shake hand with another, then total number of hand shakes is
$^{15}{P_2}$
$^{15}{C_2}$
$15\,!$
$2\,(15\,!)$
The number of $4$ letter words (with or without meaning) that can be formed from the eleven letters of the word $'EXAMINATION'$ is
The value of $\sum\limits_{r = 0}^{n - 1} {\frac{{^n{C_r}}}{{^n{C_r} + {\,^n}{C_{r + 1}}}}} $ equals
The number of ways in which any four letters can be selected from the word ‘$CORGOO$’ is
What is the number of ways of choosing $4$ cards from a pack of $52$ playing cards? In how many of these
four cards are of the same suit,
In a touring cricket team there are $16$ players in all including $5$ bowlers and $2$ wicket-keepers. How many teams of $11$ players from these, can be chosen, so as to include three bowlers and one wicket-keeper