Two packs of 52 cards are shuffled together. | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) There are $52$ distinct types of cards (suit and denomination combination). Since there are two packs,each of these $52$ types appears twice.To se

Vedclass · Accepted Answer

$^{52}C_{26} \cdot 2^{26}$

Vedclass · Answer

(A) There are $52$ distinct types of cards (suit and denomination combination). Since there are two packs,each of these $52$ types appears twice.To select $26$ cards such that no two cards have the same suit and same denomination,we must first choose $26$ distinct types out of the $52$ available types. This can be done in $^{52}C_{26}$ ways.For each of the $26$ chosen cards,we have $2$ choices (either from the first pack or the second pack).Since there are $26$ such cards,the total number of ways is $^{52}C_{26} 	imes 2^{26}$.

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

Similar Questions

In how many different ways can the letters of the word '$BANKING$' be arranged?

The number of four-digit numbers that can be formed using the digits $1, 2, 3, 4,$ and $5$ in which at least two digits are identical is

$A = \{ x_1, x_2, x_3, x_4 \}; \, B = \{ y_1, y_2, y_3, y_4 \}.$ $A$ function is defined from set $A$ to set $B.$ The number of one-one functions such that $f(x_i) \neq y_i$ for $i = 1, 2, 3, 4$ is equal to:

Suppose that $20$ pillars of the same height have been erected along the boundary of a circular stadium. If the top of each pillar is connected by beams to the top of all its non-adjacent pillars,then the total number of beams is:

$A$ parallelogram is cut by two sets of $m$ lines parallel to its sides. The number of parallelograms thus formed is

Vedclass Test Series

Exam Paper Generator

Online Exam Module