Counting Solutions

Probability Level 1

Find the number of non-negative integers x 1 , x 2 , … , x 5 x_1,x_2,\ldots,x_5 satisfying

x 1 + x 2 + x 3 + x 4 + x 5 = 17. \large{x_1 + x_2 + x_3 + x_4 + x_5 = 17.}


The answer is 5985.

Anuj Shikarkhane by Anuj Shikarkhane , 19, India

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1 solution

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Answer is simply ( 17 − 1 + 5 5 − 1 ) = ( 21 4 ) = 5985 {17-1+5 \choose 5-1}={21 \choose 4}=\boxed{5985} .

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Yes. Did the same

Aditya Kumar - 5 years ago

did the same bro

John Kenneth Pamesa - 2 years, 5 months ago

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