Home
Class 11
MATHS
Two different packs of cards are shuffle...

Two different packs of cards are shuffled together. Cards dealt equally among 4 players, each getting 13 cards. The number of ways in which a player get his cards if no two cards are from the same suit with the same denomination is

A

`""^(52)C_(13)`

B

`2^(13)`

C

`""^(52)P_(13)`

D

`""^(52)C_(13)xx2^(13)`

Text Solution

Verified by Experts

Here, we have 52 cards, each card being 2 in number. It is given that no two are to be of the same suit with the same denomination. So, we first draw 13 cards from 52 cards. This can be done in `""^(52)C_(13)` ways. Now each of 13 cards selected can be chosen in 2 ways either from first pack or from 2nd pack.
Hence, required number of ways `=""^(52)C_(13)xx2^(13)`.
Promotional Banner

Similar Questions

Explore conceptually related problems

The number of ways of selecting 4 cards of an ordinary pack of playing cards so that exactly 3 of them are of the same denomination is

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 a.52C_(26).2^(26) b.^(104)C_(26) c..^(52)C_(26) d.none of these

Two packs of 52 playing cards are shuffled together . The number of ways in which a man can be dealt 26 cards so that does not get two cards of the same suit and same denomination. (A) ^52C_26 (B) ^52C_26.2 (C) ^52C_26.2^26 (D) none of these

52 cards are to be distributed among 4 players such that 2 players get 12 cards each and other 2 players get 14 cards each,then the number of ways in which this can be done is

Find the number of ways of dividing 52 cards among four players equally.

Two cards are drawn one at a time & without replacement from a pack of 52 cards Determine the number of ways in which the two cards can be drawn.

From a regular pack of 52 cards,6 cards are selected.The number of ways of selection such that there is at least one card of each suit and every card is of different denomination is