Test SeriesFree PYQsExamsPricing

JEE Main 2026 Mathematics question

MathematicsPermutations and CombinationsJEE Main 2026

Let A = {(a,b,c) : a,b,c are non-negative integers and a+b+2c=22}. Then n(A) is equal to:

Answer: (C)

Solution

For each c=0 to 11, a+b=22−2c has (23−2c) solutions. Summing over c=0 to 11: Σ(23−2c) = 12(23)−2(66) = 144.

Question ID VK-015351