Answer:
336 ways
Step-by-step explanation:
Use nPk which is [tex]\frac{n!}{(n-k)!}[/tex]. This is [tex]\frac{8!}{5!}[/tex]. This becomes 8×7×6 as the 8! and 5! cancel out. 8×7×6 is 336.
Total number of possible 3-topping pizzas are 336 ways.
In more general terms, if we have n items total and want to pick k in a certain order, we get: n! / (n – k)! And this is the permutation formula: The number of ways k items can be ordered from n items: P(n,k) = n (n – k)!
Given that,
Total number of items n = 8
number of picking item k = 3
Now,
p(n,k) = [tex]\frac{n!}{(n -k)!}[/tex]
p(8,5) = [tex]\frac{8!}{(8 -3)!}[/tex]
= [tex]\frac{8!}{5!}[/tex]
= [tex]\frac{8.7.6.5! }{5! }[/tex]
= 8 × 7 ×6
p(8,5) = 336 ways
Hence, Total number of possible 3-topping pizzas are 336 ways.
To learn more about number of Possible ways from the given link:
https://brainly.com/question/4658834
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