Will fan + medal!!

On Friday nights the local diner serves three main entrees, each with a choice of vegetable. The entrees are beef, chicken, and fish. The vegetables are spinach, broccoli, and carrots. How many possible dinners does the diner serve? List them

Question

Will fan + medal!!

On Friday nights the local diner serves three main entrees, each with a choice of vegetable. The entrees are beef, chicken, and fish. The vegetables are spinach, broccoli, and carrots. How many possible dinners does the diner serve? List them

campbell_st · Answer

this is the fundemental theorem of counting 

multiply the choices at each stage... 

stage 1 is entrees    stage 2 is vegetables

campbell_st · Answer

you can use a tree diagram to list them 

|dw:1432066907842:dw|

here_to_help15 · Answer

suppose if the eateries i chicken then with it can serve spinach brocoli or carrots 
that means for chicken the vegetables can be chosen in 3 ways

anonymous · Answer

Thanks campbell_st!

here_to_help15 · Answer

thus for beef there are also 3 ways as well as for fish also

here_to_help15 · Answer

so required 3*3 =9

here_to_help15 · Answer

Oh looks like you got it :)