Answer: She could create 60 platters.
Step-by-step explanation:
Given: A salad bar offers vegetable platters in 4 sizes (small, medium, large, and super-sized) and 6 different vegetables to choose from.
Number of combinations of selecting <em>r</em> things from <em>n</em> things is given by:-
![^nC_r=\dfrac{n!}{r!(n-r)!}](https://tex.z-dn.net/?f=%5EnC_r%3D%5Cdfrac%7Bn%21%7D%7Br%21%28n-r%29%21%7D)
So, the number of combinations of selecting 2 different vegetables from 6 = ![^6C_2=\dfrac{6!}{2!4!}=\dfrac{6\times5}{2}=15](https://tex.z-dn.net/?f=%5E6C_2%3D%5Cdfrac%7B6%21%7D%7B2%214%21%7D%3D%5Cdfrac%7B6%5Ctimes5%7D%7B2%7D%3D15)
Now, By Fundamental counting principle, the number of different platters she could create = (number of ways of selecting 2 different vegetables from 6) x (Number of sizes)
= 15 x 4
= 60
Hence, she could create 60 platters.
Answer:
y = 4x+1
Step-by-step explanation: