Answer :
120 different "three-topping-pizzas" can be formed with the ten toppings.
What is a combinaton?
A combination is a way of selecting items from a collection where the order of selection does not matter.
Mathematically, nCr = n!/r!(n-r)!
where, n represents the total number of items
and r represents number of items chosen at a time.
Now,the total number of toppings given,n = 10
Number of toppings chosen,r = 3
So, the number of different three-toppings can be formed,
nCr = n!/r!(n-r)!
nCr = 10!/3!(10-3)!
nCr = 10!/3!7!
nCr =10x9x8/3x2x1
nCr = 120
Therefore, 120 different "three-topping-pizzas" can be formed with the ten toppings.
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