SOLUTION: The number of possible sequences of all the hearts from a standard deck, given that the ace and king cannot be next to each other and that the 13 cards are dealt in a single row, i

Algebra.Com
Question 875907: The number of possible sequences of all the hearts from a standard deck, given that the ace and king cannot be next to each other and that the 13 cards are dealt in a single row, is __________________.
Found 2 solutions by ewatrrr, mckenzr:
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
8! - 7! = 35,280ways
7!(considering AK as 'one unit')

Answer by mckenzr(1)   (Show Source): You can put this solution on YOUR website!
13! - ( 2!x 12 x 11!) = 5269017600 (this is the correct answer according to Foundations of Math 12 Workbook, Nelson).
It's all the possible arangements subtract the complement (how many arrangements can there be if the Ace and King ARE side by side).

RELATED QUESTIONS

A standard deck of cards has 4 suits (hearts, diamonds, spades, and clubs) each with 13... (answered by Boreal)
A standard deck of 52 playing cards will have cards in fours suits (clubs, diamonds,... (answered by checkley79)
On one draw from a standard deck of 52 playing cards, what is the probability of drawing... (answered by stanbon)
Five cards are dealt at random from a standard deck (of 52 cards). Find the probability... (answered by stanbon)
If one card is drawn from an ordinary deck of cards, what is the probability that the... (answered by greenestamps)
A card is selected at random from a standard deck of cards. Find the probability of... (answered by Fombitz)
A standard deck of cards has four suits: hearts, diamonds, clubs, and spades. Each suit (answered by stanbon)
find the probability of the given event: Being dealt 5 cards from a standard 52-card... (answered by rfer,solver91311)
What is the possibility of drawing either the ace of hearts or the ten of diamonds from a (answered by stanbon)