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While selecting candy for students in his class, Professor Murphy must choose between gummy candy and licorice nibs. Gummy candy packets come in five sizes, while packets of licorice nibs come in two. If he chooses gummy candy, he must select gummy bears, gummy worms, or gummy dinos. If he chooses licorice nibs, he must choose between red and black. How many choices does he have

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buchinnamani208

Answer and explanation:

First Prof. Murphy has to choose between two alternatives: gummy candy or licorice nibs

To find total choices, we only need to multiply number of sizes for each alternative and then add totals for each alternative together

So if Prof Murphy chooses gummy candy. He has sizes= 5 choices and types =3 choices, therefore he has 5×3= 15 choices for gummy candy

If he chooses licorice nibs, he has sizes = 2 choices and types= 2 choices, therefore he has 2×2= 4 choices for licorice nibs

Total choices: 15+4=19

francocanacari

He has 19 different options for selecting candy.

Since while selecting candy for students in his class, Professor Murphy must choose between gummy candy and licorice nibs, and gummy candy packets come in five sizes, while packets of licorice nibs come in two, and if he chooses gummy candy, he must select gummy bears, gummy worms, or gummy dinos, while if he chooses licorice nibs, he must choose between red and black, to determine how many choices does he have, the following calculation must be performed:

  • Number of sizes x number of options = X  
  • Gummy candy = 5 x 3 = 15
  • Licorice nibs = 2 x 2 = 4
  • 15 + 4 = 19

Therefore, he has 19 different options for selecting candy.

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