Question

A Pizza Place offers 10 different toppings on their pizzas. Without the use of a calculator (show your work), find the number of ways they can make pizza with:

a. 4 toppings

b. 5 toppings

c. 4 or 5 toppings

d. 9 toppings

Answer #1

Given -

No. of toppings available = 10

a. 4 toppings

No. of ways are:

C(10,4) = 10C4

=

=

=

= 210

**210 ways are possible**.

b. 5 topping

C(10,5) = 10C5

=

=

=

= 252

**252 ways are possible .**

c. 4 or 5 topping

C(10,4) + C(10,5)

= 210 + 252

= 462

**462 ways are possible.**

d. 9 topping

C(10,9) = 10C9

=

=

= 10

**10 ways are possible.**

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-------------------------------------------------
Question
---
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0
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2
2
3
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6
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