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auniyal
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Im sorry im new here, what do you mean by the "c" in 9C9, 8C8, etc..
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auniyal
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Tuneman
Why wouldn't the answer be 8! ?


8! is number of permutations of 8 different things taken 8 at a time. The above scenerio is a typical Combination problem (where order is not important). This implies total no. of cominations would be the summation of indivisual combination of 8 topping taken from 0 to 8 at a time, and that is nothing but :-
C1+8C2+8C3+8C4+8C5+8C6+8C7+8C8+1 (no toppings)
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auniyal
Tuneman
Why wouldn't the answer be 8! ?

8! is number of permutations of 8 different things taken 8 at a time. The above scenerio is a typical Combination problem (where order is not important). This implies total no. of cominations would be the summation of indivisual combination of 8 topping taken from 0 to 8 at a time, and that is nothing but :-
C1+8C2+8C3+8C4+8C5+8C6+8C7+8C8+1 (no toppings)


Perfect! :-D
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8 different toppings taken 1, 2, 3... at a time using combination.



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