The number of groups that can be made from $5$ different green balls, $4$ different blue balls and $3$ different red balls, if at least $1$ green and $1$ blue ball is to be included
$3700$
$3720$
$4340$
None of these
$^n{C_r}\,{ \div ^n}{C_{r - 1}} = $
Consider a class of $5$ girls and $7$ boys. The number of different teams consisting of $2$ girls and $3$ boys that can be formed from this class, if there are two specific boys $A$ and $B$, who refuse to be the members of the same team, is
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
${ }^{n-1} C_r=\left(k^2-8\right){ }^n C_{r+1}$ if and only if:
What is the number of ways of choosing $4$ cards from a pack of $52$ playing cards? In how many of these
are face cards,