Question

Help please?!
Ping is deciding what to choose for dinner from a menu. He can choose 1 of 3 pasta meals, 1 of 7 chicken meals, or 1 of 3 fish meals. How many ways can Ping choose a dinner meal?
a. 3

b. 13

c. 30

d. 63
Am I supposed to multiply to get the answer? Or add? I'm a bit lost!!

Answer 1

7c1 * 3c1 * 3c1

Answer 2

What does the c mean??

Answer 3

It means "combination"

Answer 4

In general, nCr =

\(\Large \color{Black}{\Rightarrow {n! \over (n -r)! \times r!} }\)

Answer 5

And so if I am multiplying, does that mean the answer is d. 63 then?? oh my gosh.. haha thanks for clearing that up! hahaa so would that mean the answer is just 63 since 7 x 3=21 x 3=63?

Answer 6

Hmm I see that you are correct! ^_^

Answer 7

So everytime I get an equation like that, I just multiply??

Answer 8

Exactly!

Answer 9

Awesome! Thank you so much @ParthKohli :) now I understand how to do that.. i think! teehee :) thanks!

Answer 10

not sure why you're using combinations when you're simply multiplying 3, 7 and 3 to get 63

Answer 11

this is basically the counting principle in action

Answer 12

haha hi @jim_thompson5910 thanks for coming! but the answer is 63 (answer d) anyways yes?

Answer 13

yes, the answer is 63

Answer 14

thanks! :)

Answer 15

you can draw a tree (if you want) to confirm

Answer 16

but I don't recommend it as you'll have a lot of branches

Answer 17

Hmm....but tree would be very long

Answer 18

Yes exactly