The number of triplets (x, y, z), where x, y, z are distinct non negative integers satisfying x+y+z=15, is:

Permutations and Combinations: JEE Main 2023 Mathematics question

JEE Main 2023 · 11 Apr, Morning shift · Q4781

JEE Main 202311 Apr, Morning shiftMathematicsMediumPermutations and Combinations98× since 2002

The number of triplets

(x, \mathrm{y}, \mathrm{z})

, where

x, \mathrm{y}, \mathrm{z}

are distinct non negative integers satisfying

x+y+z=15

, is :