JEE Main 2026 · 4 Apr · Shift 2 · Mathematics Q17 · Dronacharya Exams

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MathematicsSingle correct+4 / -1Question 17 of 75

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

A

121

B

124

C

144

D

169

Answer and worked solution

Official answer: C

Fix c ( $0\le c\le11$ ). Then $a+b=22-2c$ has $23-2c$ solutions.

Total. $\displaystyle\sum_{c=0}^{11}(23-2c)=276-132=144$ .

(C)

Topics:Distribution and arrangements

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