Cake of Combinations

Probability Level 3

Consider the equation a + b + c = 15 a + b + c = 15 .

How many possible combinations can be formed of the values of a , b , c a,b,c , where a , b , c a,b,c belong to non negative integers.

120 136 105 3375 4096

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Silver Vice by Silver Vice , 20, India

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1 solution

Due to this (Bar and stars) the solution is ( 17 2 ) = {17 \choose 2 }= = 17 ⋅ 16 2 = 136 = \frac{17 \cdot 16}{2} = 136

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