Question

math help ss below

Answer 1

@AZ

Answer 2

how many ways did you find so far

Answer 3

im having trouble starting e.e cus both the o's can be counted as first or last so im not so sure

Answer 4

hmm it's a very interesting question

let's just look at it without the bottom row for now since it's only a four letter word

and then we'll try to find all the possibilities and then we just multiply by 2 since you can make those same patterns from the bottom upwards

Answer 5

For example, just a few I listed

you can see how it's symmetrical but it would be easier this other way so we don't get confused

Answer 6

ok so how can we find all possibilities?

Answer 7

do i have to find the number of possibilties for each letter? for example for the top row of o the possibilties for each one is 3?

Answer 8

Like you said earlier, the o's can either be the first or second o in the word room

But the easiest way would be to start with R and then see how many O's are next to it I guess


For this corner R, there's only one way to make ROOM

do you see any other way?

Answer 9

the r to the right?

Answer 10

going to leave this clean copy just so it'll be easier to "reply using drawing"

Answer 11

okay, so now you started on the next R

Answer 12

just work with one R and then all the O's that it touches

Answer 13

ok

Answer 14

here is all for that R i think?

Answer 15

OH that last one is really good

totally missed that

Answer 16

so let's try to add it all up and make sure we get the symmetry right

For the left most and right most R, there would be three ways

Answer 17

so there is 6 for those then for the second and fourth r there are 6 for so in total 12? each i believe so 16 then 6 for the middle one?

Answer 18

there's a whole lot more dang

Answer 19

5 + 7 = 12

Answer 20

so 12 for each cus symmentry? so 24 in total for the 2nd and 4th r?

Answer 21

yeah

Answer 22

6 for left most and right most then 6 for oe in middle(idk if right for this one)

Answer 23

I think the center one is going to have a lot more

so far we have

3 + 12 + center + 12 + 3

and then at the end we can multiply by 2

but first let's check the center

Answer 24

there's 10 ways just using the center O

now if we use the diagonal O's then there's going to be more

Answer 25

6 more with the diagonals

Answer 26

so 16 in all?

Answer 27

yeah, seems like it

Answer 28

(16+3+12+3+12)*2=92?

Answer 29

yup

Answer 30

thank you!

Answer 31

of course! :)

Answer 32

@AZ oh it said it was wrong?

Answer 33

we missed something hmm

Answer 34

aha, we missed one and with symmetry it should add 4 to the total

Answer 35

that's six so far

Answer 36

yes! 96 worked! can you show what path was missed?

Answer 37

that's four more

Answer 38

I think we missed one of the orange paths

Answer 39

oh yea i didn't notice that! thanks again :)

Answer 40

and then 3 more to make the 2nd and 4th R to have a total of 13

Answer 41

3 + 13 + 16 + 13 + 3 = 48

48 * 2 = 96