Question

If from a deck of 52 cards, 4 cards are to be selected and one card of it should be a spade and another card should be heart, in how many ways can these cards be selected?

Answer 1

48 should be used as black

Answer 2

Solution:

Total number of cards in a deck of cards = 52

We have to select 4 cards out of 52 cards in such a way that one should be spade and other should be heart.As there are 13 spades and 13 hearts in number.

Total favorable Outcome = $_{1}^{13}\textrm{C}\times_{1}^{13}\textrm{C}\times_{2}^{26}\textrm{C}$

Total Possible Outcome = $_{4}^{52}\textrm{C}$

Probability of an event = $\frac{\text{Total favorable Outcome}}{\text{Total Possible Outcome}}$

        =  $\frac{_{1}^{13}\textrm{C}\times_{1}^{13}\textrm{C}\times_{2}^{26}\textrm{C}}{_{4}^{52}\textrm{C}}$