In how many ways can 52 cards be distributed to four players giving 13 cards to each?

In how many ways can 52 cards be distributed (i) Equally among 4 players and , (ii) Equally into 4 groups ?

What is the number of ways of choosing 4 cards from a pack of 52 playing cards ? In how many of these : cards are of the same colour ?

What is the number of ways of choosing 4 cards from a pack of 52 playing cards ? In how many of these : two are red cards and two are black cards?

Two cards are drawn from a well shuffled pack of 52 cards. Find the probability distribution of queens if cards are drawn at random.

Determine the number of ways of choosing 5 cards out of a deck of 52 cards which include at least one king.

Three cards are drawn successively with replacement from well- shuffled deck of 52 cards. A random variable X denotes the number of spades in three cards. Determine the probability distribution of X .