The formula for finding how many different sequences or arrangements of cards there are is:

1 x 2 x 3 x 4 x 5 x 6 ...

So to find how many different sequences or arrangements of 3 cards, multiply 1 x 2 x 3 = 6

To find out how many different sequences for 5 cards there are, multiply 1 x 2 x 3 x 4 x 5 = 120

Six cards can be arranged in 720 different ways. So there is one chance in 720 to randomly deal a particular sequence of 6 cards.

To deal a particular sequence of 7 cards, the the chances are 1 in 5040.

With 8 cards, the chances are 40,320.

With 9 cards the chances are 1 in 362,880;

With 10 it is 1 in 3,628,800;

With 11 it is 1 in 39,916,800;

With 12 it is 1 in 479,001,600;

With 13 it is 1 in 6,227,020,800, with 14, it is 1 in 87,178,291,200, with 15 it is 1 in 1,307,674,368,000; with 16 there it is 1 in 20,922,789,888,000; with 17 it is one in 355,687,428,096,000; with 18 it is 1 in 6,402,373,705,728,000; with 19 it is 1 in 121,645,100,408,832,000, and with 20 it is 1 in 2,432,902,008,176,640,000.

There are only 1,051,200,000,000,000 seconds in two billion years. So, with the random combinations of just 20 cards, one has already surpassed the number of seconds in two billion years by more than two thousand times. That is, the number of random combinations of just 20 cards is more than two thousand times the number of seconds in two billion years.

So, when one considers that there are 1,000,000,000,000,000 cards in the "deck" of neurological connections in a human brain, it is easy to see that it is simply impossible for them to have formed by means of random accidents. There is no name for this number.

 

 

 

 

 

 

 

 

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CARDS AND CHANCES

(An amazing number of different arrangements)

Three cards can be arranged in 6 different ways or sequences:

A K Q

A Q K

K A Q

K Q A

Q A K

Q K A

Four cards can be arranged in 24 different ways:

A K Q J

A K J Q

A Q K J

A Q J K

A J K Q

A J Q K

K A Q J

K A J Q

K Q A J

K Q J A

K J A Q

K J Q A

Q A K J

Q A J K

Q K A J

Q K J A

Q J A K

Q J K A

J A K Q

J A Q K

J K A Q

J K Q A

J Q A K

J Q K A

Five cards can be arranged in 120 different ways:

A K Q J 10

A K J Q 10

A Q K J 10

A Q J K 10

A J K Q 10

A J Q K 10

A K Q 10 J

A K J 10 Q

A Q K 10 J

A Q J 10 K

A J K 10 Q

A J Q 10 K

A K 10 Q J

A K 10 J Q

A Q 10 K J

A Q 10 J K

A J 10 K Q

A J 10 Q K

A 10 K Q J

A 10 K J Q

A 10 Q K J

A 10 Q J K

A 10 J K Q

A 10 J Q K

K A Q J 10

K A J Q 10

K Q A J 10

K Q J A 10

K J A Q 10

K J Q A 10

K A Q 10 J

K A J 10 Q

K Q A 10 J

K Q J 10 A

K J A 10 Q

K J Q 10 A

K A 10 Q J

K A 10 J Q

K Q 10 A J

K Q 10 J A

K J 10 A Q

K J 10 Q A

K 10 A Q J

K 10 A J Q

K 10 Q A J

K 10 Q J A

K 10 J A Q

K 10 J Q A

Q A K J 10

Q A J K 10

Q K A J 10

Q K J A 10

Q J A K 10

Q J K A 10

Q A K 10 J

Q A J 10 K

Q K A 10 J

Q K J 10 A

Q J A 10 K

Q J K 10 A

Q A 10 K J

Q A 10 J K

Q K 10 A J

Q K 10 J A

Q J 10 A K

Q J 10 K A

Q 10 A K J

Q 10 A J K

Q 10 K A J

Q 10 K J A

Q 10 J A K

Q 10 J K A

J A K Q 10

J A Q K 10

J K A Q 10

J K Q A 10

J Q A K 10

J Q K A 10

J A K 10 Q

J A Q 10 K

J K A 10 Q

J K Q 10 A

J Q A 10 K

J Q K 10 A

J A 10 K Q

J A 10 Q K

J K 10 A Q

J K 10 Q A

J Q 10 A K

J Q 10 K A

J 10 A K Q

J 10 A Q K

J 10 K A Q

J 10 K Q A

J 10 Q A K

J 10 Q K A

10 A K Q J

10 A Q K J

10 K A Q J

10 K Q A J

10 Q A K J

10 Q K A J

10 A K J Q

10 A Q J K

10 K A J Q

10 K Q J A

10 Q A J K

10 Q K J A

10 A J K Q

10 A J Q K

10 K J A Q

10 K J Q A

10 Q J A K

10 Q J K A

10 J A K Q

10 J A Q K

10 J K A Q

10 J K Q A

10 J Q A K

10 J Q K A