Respuesta :
With card games like poker, the order of the cards does not matter. Getting a 5 card draw of 1,2,7,9,K is the same as K,7,9,1,2. What matters is the basic overall group.
Because order doesn't matter, we use a combination (instead of a permutation)
We'll use the nCr combination formula which is
n C r = (n!)/(r!*(n-r)!)
and plug in n = 52 and r = 5
So we get:
n C r = (n!)/(r!*(n-r)!)
52 C 5 = (52!)/(5!*(52-5)!)
52 C 5 = (52!)/((52-5)!*5!)
Answer is choice C
Because order doesn't matter, we use a combination (instead of a permutation)
We'll use the nCr combination formula which is
n C r = (n!)/(r!*(n-r)!)
and plug in n = 52 and r = 5
So we get:
n C r = (n!)/(r!*(n-r)!)
52 C 5 = (52!)/(5!*(52-5)!)
52 C 5 = (52!)/((52-5)!*5!)
Answer is choice C