We want 3 pizzas, each topped with $$\(0,1,2,3,4,5\)$$, or 6 of 6 available whole-pie toppings. How many different combinations of 3 such pizzas are possible if different pizzas need not have different toppings?

A.
24760
B.
36000
C.
45670
D.
none of above
Mathematics
Competition
Math League
Exam No:2020 First Round Grades 10-12 Year:2020 Question No:18

Answer:

D

Knowledge points:

G10-12 - Combinatorics - Partitions (Stars & Bars)

Solution:

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