Two packs of $52$ cards are shuffled together. The number of ways in which a man can be dealt $26$ cards so that he does not get two cards of the same suit and same denomination is
$^{52}{C_{26}}\;.\;{2^{26}}$
$^{104}{C_{26}}$
$2\;.{\;^{52}}{C_{26}}$
None of these
A man has $7$ friends. In how many ways he can invite one or more of them for a tea party
If $^{n} C_{8}=\,^{n} C_{2},$ find $^{n} C_{2}.$
The English alphabet has $5$ vowels and $21$ consonants. How many words with two different vowels and $2$ different consonants can be formed from the alphabet?
What is the number of ways of choosing $4$ cards from a pack of $52$ playing cards? In how many of these
four cards belong to four different suits,
If $^n{P_r} = 840,{\,^n}{C_r} = 35,$ then $n$ is equal to