The first card can be any card in the deck, the second can be any one of the remaining cards, and so on.
52 * 51 * 50 * 49 * 48 = 311,875200
Since we do not care about the order of the cards, this is reduced. 5 cards can be arranged in (5!) 120 different ways.
311,875200 / 120 = 2,598960 possible hands. ■
You would have to draw 17 cards from a deck in order to be sure of getting at least five cards in one suit. (Any suite. Many more if you wanted a particular suite.)
There are four suits. You could draw 16 cards and still not have a five-card suit if you got four cards in each suit. However, the seventeenth card would have to turn one suit into a five-card suit.
52*51*50*49*48 / (5*5*3*2*1)
20358520.00
133,784,560
Solution
Use the Combination Rule.
When the order in which the objects are chosen is not important, the number of ways of choosing r objects from n distinct objects is n C r = n!/r!(n-r)!
There are 6 cards or objects being chosen from a group of 52 cards or objects. The drawing is done without replacement, and order is not important with respect to a hand of cards.
n C r = n!/r!(n-r)! = 52 C 6 = 52!/6!(52-6)! = (52 x 51 x 50 x 49 x 48 x 47 x 46)/(6 x 5 x 4 x 3 x 2 x 1 (46)!)
The 46! cancels out in the top and bottom so the remaining multiplication leaves you with 52C6 = 14658134400/720 , which divides to 20358520
20000
There are 270,725 sets.
Because with replacement, the total number of possible outcomes - the denominator of the probability ratio - remains the same. Without replacement the number of possible outcomes becomes smaller.
I certainly disagree. Succession is the passage of power from one monarch to another. Monarchs can easily pass rulership to their children without struggle, so it is certainly possible to have succession without jihad.
O.25
24 out of 6497400 = 1 out of 270725.
(4/52)*(3/51) = 0.004525, approx.
37 cards.
It's possible but illegal.
when your in your succession you'll know what to do after you done a failure because without failure there is no success in life and no glory.
The answer depends on how many cards are drawn, whether or not at random, from an ordinary deck of cards, with or without replacement. Without that information it is not possible to give a meaningful answer.
Unfortunately this is not possible. I had the same problem about ten years ago. The Department of Work and Pensions in Newcastle, are the only people that have the authority to issue a replacement.
It's usually not possible to repair a speaker without taking it somewhere.You can buy replacement parts however.