Mathematics · 2026
JEE Main · 4 April 2026, Shift 2 · Q17
Let A ={(a, b, c): a, b, c are non-negative integers and a+b+2 c=22}. Then n( A ) is equal to:
Let
$\displaystyle \mathrm{A}=\{(a, b, c): a, b, c$ are non-negative integers and $\displaystyle a+b+2 c=22\}$.
Then $\displaystyle n(\mathrm{~A})$ is equal to:
Official answer
From NTA’s final answer key for this paper.
(3)
$\displaystyle 144$
More from Permutations and Combinations
- A building has ground floor and 10 more floors. Nine persons enter in a lift at the ground floor. The lift…2026
- The number of functions f:{1,2,3,4} →{a, b, c}, which are not onto, is:2026
- Let A={1,2,3,4,5,6}. The number of one-one functions f: A → A such that f(1) ≥ 3, f(3) ≤ 4 and f(2)+f(3)=5,…2026
- The number of 4 -letter words, with or without meaning, each consisting of two vowels and two consonants that…2026
- The number of seven-digit numbers, that can be formed by using the digits 1,2,3,5 and 7 such that each digit…2026
- A box contains 5 blue, 6 yellow and 4 red balls. The number of ways, of drawing 8 balls containing at least…2026
- A person has three different bags and four different books. The number of ways, in which he can put these…2026
- The number of ways, of forming a queue of 4 boys and 3 girls such that all the girls are not together, is:2026
JEE Main 2026 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.