Question

Help plzz...might seem long but pretty easy for some ppl out there!!!
ill might help u 2. Jerrys snack wagon sereves combination sandwiches. Each type of sandwhich consists of 2 diff. types of sandwiches can be made using 2 diff. types of meat from the list?

Choices of meat:
1) roast beef
2) turkey
3) corned beef
4) pastrami
5) Ham

Answer 1

What's your question? How many types of sandwiches can be made?

Answer 2

ya

Answer 3

can u guys tell me in tree diagram form if possible...thank u!

Answer 4

well you have 5 choices for the first slot

4 choices for the second slot (assuming repeats aren't allowed)

giving you 5*4 = 20 choices total, but since order doesn't matter, you really have 20/2 = 10 different types of sandwiches

Answer 5

um y do u hve to divide

Answer 6

because having choice 1 and choice 2 is the same as having choice 2 and choice 1

Answer 7

the order of the meat doesn't matter, so you have to divide by 2 to avoid double counting

Answer 8

oh, ok

Answer 9

nd u got the 4 from taking out 1 type of meat, rite?

Answer 10

yes, this is assuming that once you choose the first type of meat, you can't choose it again

Answer 11

ok, thanks but im confused in how to put the data in a tree diagram.

Answer 12

can u help me with tht, plz?

Answer 13

You would draw 5 branches starting from a common node to represent the 5 choices of meat

Then from each branch, you draw 4 more branches to represent the 4 left over choices (after picking that first choice)

A blank tree of this form is attached. You'll have to label each branch, but that's not that tough to do.

Answer 14

Keep in mind that some of the branch combos will overlap, so this tree is useful if order mattered

since order does not matter, you'll have to exclude the overlapping branches

Answer 15

Thank u so much for ur helpy delipy mathematically

Answer 16

Here's what the tree would look like if ordered mattered and you labeled it

Ex: the number 3 stands for choice 3 (which is corned beef)

Answer 17

Now here's what that same tree would look like, but you have removed repeated and over-counted branches

Ex: branch 1-2 is the same as branch 2-1, so remove branch 2-1

Answer 18

So you'll see that the branch count goes from 20 to 10

Answer 19

oh ok, thts wht i was thinking also. thank you, ur very genorous and smart

Answer 20

np

Answer 21

but isnt each part has to hve the equal # of branches

Answer 22

what do you mean

Answer 23

in the tree diagram..

Answer 24

yes what about it

Answer 25

in tree. diagram #3

Answer 26

ok yes, whats your question about tree diagram #3

Answer 27

there are 4 parts but isnsupposed to be 5, since there r 5 diff. types of meats. Also there are supposed to hve the equal amnt. of branches in each part, but there isnt. However, tree diagram #2 is right bec. there is the same amnt of brances distributed equally

Answer 28

so can i just rite tht i divided by 2 and got 10 after righting the second diagram

Answer 29

no tree 3 is the final answer because look at this picture

you'll see that the red branch 1-4 is the same as the blue branch 4-1

order does NOT matter

so that's why I tossed out branch 4-1 (and any other duplicate branches)

Answer 30

so you start with tree #2, then you trim off the duplicate branches to get tree #3

Answer 31

the second level has 4 parts (NOT 5) since once you pick the first type of meat, you can't select it again

Answer 32

oh ok so u cross out the ones tht are the same but like they r flipped. so then as a result it comes out to 10 sandwhiches rite.

Answer 33

exactly, in tree #2, you'll see that there are 10 branches

this means that there are 10 different sandwiches total

Answer 34

finally, phew. ok. sorry for the trouble. Thanxx

Answer 35

its ok, it's good you asked