The number of ways in which $3$ children can distribute $10$ tickets out of $15$ consecutively numbered tickets themselves such that they get consecutive blocks of $5, 3$ and $2$ tickets is
$^8{C_5}$
$^8{C_5} 3!$
$^8{C_5} (3!)^2$
none of these
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
A lady gives a dinner party for six guests. The number of ways in which they may be selected from among ten friends, if two of the friends will not attend the party together is
If $P(n,r) = 1680$ and $C(n,r) = 70$, then $69n + r! = $
In how many ways can $21$ English and $19$ Hindi books be placed in a row so that no two Hindi books are together
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,