Question

Tom and John are to sit in a row of 8 seats with 6 other people. How many ways are there for the 8 people to sit if Tom sits to the left of John (but not necessarily beside him) ?

Answer 1

<3

Answer 2

It's a protest to get your 100 back sorry @Draven_03

Answer 3

Lets do this problem though

Answer 4

Ok so

Answer 5

lol, thanks though

Answer 6

Err yeah permutations

Answer 7

number the seats one to 8 from left to right
john can't sit in seat 1, but he can sit in seat two

Answer 8

if he does there is one spot for tom, and oh crap there are 7 people not 8 !!

Answer 9

oh no 8 good

Answer 10

if john sits in seat 2 there are 6! ways to fill the other chair
this is really going to be a drag

Answer 11

if john sits in seat 3 there are 2 choices for tom and 6 choices for the other seat and 5! choices for the remaining
i am probably not doing this the best way, i hate counting, but it john sits in seat 3 i get \[2\times 6!\times 5!\]

Answer 12

no that is wrong \[2\times 6\times 5!\] or better yet \(2\times 6!\)

Answer 13

i think
does that make sense if john is in seat 3?

Answer 14

tbh im lost now, are all of those answers equal to each other?

Answer 15

i don't know lets go slow

Answer 16

thank you for all of your help

Answer 17

i don't think so

Answer 18

yw

Answer 19

A john sits in seat 2
tom must sit in seat 1, then 6! for the remaining chairs
so far so good?

Answer 20

good so far? just fyi i hate this stuff, so if someone has a snazzier way i would be happy to shut up and see it

Answer 21

It's your day today sat go ahead!

Answer 22

lol
@Draven_03 is it clear or not clear so far?

Answer 23

actually i don't think it is going to turn out that bad

Answer 24

lol sorry, my screen froze

Answer 25

thats a lot of bikes

Answer 26

but yea that makes sense

Answer 27

yeah i think mine did too
i got an answer but lets go slow (especially since it might not be right)
so back to the beginning, john sits in seat 2, then 6! ways to fill up the other chairs

Answer 28

Yes, we want lance armstrong to be recognized for winning his medals on wikipedia

Answer 29

LOL

Answer 30

john sits in seat 3, then two choices for tom, 6! for the other chairs, so \(2\times 6!\) for seat 3

Answer 31

damn where'd i put my dope ...
ok seat 4 quick
2 choices for tom, 6! for other seats \(3\times 6!\) pattern is emerging

Answer 32

i meant 3 choices for tom, etc

Answer 33

got it?

Answer 34

yeah

Answer 35

i am not willing to bet more that $14 that this answer is correct, but it looks like to me \[(1+2+3+4+5+6+7)\times 6!\]

Answer 36

oh lord is that really just \[\frac{8!}{2}\]??"

Answer 37

Didn't i say that earlier

Answer 38

!!

Answer 39

all right all you bikes ....

Answer 40

why didn't you say so earlier @Astrophysics ?

Answer 41

The answer seemed insane to me though idk, I did but I erased it

Answer 42

deleted

Answer 43

lol, I could have mentioned to you that it was actually a timed question, and we ran out of time a long time ago. ps i didn't even know it was timed until i was out of time lol

Answer 44

how did you know it so quick and why did you let me struggle so long?

Answer 45

half left and half right doe

Answer 46

Yup lol, and it's fun

Answer 47

i am going to go watch perry mason
told you i hate these, especially when there is some complete trivial explanation you (I) don't see

Answer 48

I thought your examples would become clear, and i would learn how to do it; which in a way i suppose i kind of did

Answer 49

thanks

Answer 50

sheer reason is always better than computation

Answer 51

whats perry mason?

Answer 52

what's perry mason!!!???

Answer 53

I wonder if Perry Mason could've handled this question as easily mhmm

Answer 54

i am sure della could have

Answer 55

lol, isn't perry mason a tv show ? or a person on a tv show ?

Answer 56

it is a very very long running tv show from the fifties to the early sixties based on novels by erle
stanley garner

Answer 57

LOOOLLLL

Answer 58

Happy satellite day errrbody! <3

Answer 59

Um, what's with the satellites for???

Answer 60

Happy satellite day ☺

Answer 61

We can make a problem out of this 3 mod cyclists are to bike in a row...yeah ok

Answer 62

Today, the first ever satellite was invented! :^)

Answer 63

^Learn something new everyday c:

Answer 64

there are a lot of bikes

Answer 65

January 29, 2016. Satellite memorial day.

Answer 66

An unfair loss.

Answer 67

LOL, why did he lose his 100 though?

Answer 68

rip

Answer 69

Because a certain sometime did a certain something and now he has to pay for it rofl.