5 friends met every week for a card game, using a table with 6 seats. Eventually, they realized they had chosen a different seating arrangement every week until they had exhausted all possibilities.
How long had the friends played cards together?
( I know the answer, just wanted to see who else does)
2006-12-05 15:23:42 · 13 answers · asked by Lance Castinova 1 in Education & Reference ➔ Trivia
5 friends met every week for a card game, using a table with 6 seats. Eventually, they realized they had chosen a different seating arrangement every week until they had exhausted all possibilities.
How long had the friends played cards together?
( I know the answer, just wanted to see who else does)
Hint: The answer is less than 15 years, but more than 100 days...
Good Luck!
2006-12-05 15:30:34 · update #1
About 13 years. 6!
2006-12-05 15:41:41 · answer #1 · answered by Deirdre H 7 · 0⤊ 0⤋
If you count all of the possible seating arrangements where the empty seat is just like another player and the same arrangement rotated is counted as different, the number is 6!
or 720 weeks (13 yrs 44 weeks) .
However, if you only wanted to know how many weeks it would take before they had exhausted all the possible different formations of the card players , after 24 weeks they would have gone through all possible rotations.
If I were the dealer each week and I gave each of the other players a digit 1-4, there are only 4x3x2 possible combinations
of those digits for me to deal to. Thus there are only 24 discreet player rotations, and it does not matter where the open seat is or which of the 6 seats I, as the dealer, sit in.
2006-12-06 01:08:39 · answer #2 · answered by True Blue 6 · 0⤊ 0⤋
30
2006-12-05 23:28:27 · answer #3 · answered by Brandon B 1 · 1⤊ 0⤋
Bcoz they r playing a card game they wud sit in a circle. the first person can take ne seat does n't make a difference... left to him / her can be ne1 of remaining 4; next one cud b ne1 of the 3 and further any of the two ...last seat has to be occuped by the person left...
so the total permutations will be 4*3*2*1
Total time =24 weeks
2006-12-06 00:20:01 · answer #4 · answered by Vinay A 1 · 0⤊ 0⤋
I think the answer is 5*4*3*2*1 =120.
Divided by 7 is 17. 14 weeks.... I am bad at math, but I am having a flashback to Statistics...
2006-12-05 23:31:53 · answer #5 · answered by Jujube 3 · 1⤊ 0⤋
To calculate permutations we use the formula nPr - n being the total number of objects, r being the chosen number of objects. In this case, there are 6 chairs to choose from, and only 5 are chosen per occasion, thus nPr = 6P5, meaning the calculation will be: 6x5x4x3x2 = 720 (weeks)
2006-12-06 02:34:15 · answer #6 · answered by Leon O 2 · 0⤊ 0⤋
6 weeks, i just though 5 friends 6 seats so if they rotated it would take 6 weeks( including the week they get back) to get to their own seat but hey im just saying :D But if not counting the last week 5 before they hit their seat again
2006-12-05 23:28:21 · answer #7 · answered by Anonymous · 0⤊ 0⤋
30 weeks
2006-12-05 23:28:45 · answer #8 · answered by Anonymous · 1⤊ 0⤋
30 weeks.
2006-12-05 23:32:15 · answer #9 · answered by Toadsputum 5 · 0⤊ 0⤋
15 days?
2006-12-05 23:25:39 · answer #10 · answered by Anonymous · 1⤊ 0⤋