Answered

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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!

Sagot :

SOLUTION

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:

[tex]_5C_3=\frac{5!}{(5-3)!3!}[/tex]

This gives:

[tex]\begin{gathered} _5C_3=\frac{5\times4\times3!}{2\times1\times3!} \\ _5C_3=10 \end{gathered}[/tex]

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:

View image KaziyahQ209693
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