Question

Helen has a coupon for a pizza with 3 toppings.She can choose from pepperoni, sausage, ham,mushroom, and onions. How many differentcombinations of toppings can she order? SHOWEVERY WAY USING A CHART!

Answer 1

Notice that there are 5 total topings

Since Helen is to select three topings then order does not matter

Hence the total number ways can be determined using combination rule:

That is:

`_5C_3=(5!)/((5-3)!3!)`

This gives:

`\begin{gathered} _5C_3=(5*4*3!)/(2*1*3!) \\ _5C_3=10 \end{gathered}`

Therefore there are 10 ways Helen can combine the topings:

The topings are

pepperoni(P), sausage(S), ham(H),

mushroom(M), and onions(O)

The chart is shown: