The number of ways of selecting two numbers a and b, a ∈ {2, 4, 6… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 30 January, Shift 2Applications of P&C

The number of ways of selecting two numbers $a$ and $b$ , $a \in \{2, 4, 6, \dots, 100\}$ and $b \in \{1, 3, 5, 7, \dots, 99\}$ such that $2$ is the remainder when $a + b$ is divided by $23$ is:

A
$186$
B
$54$
C
$108$
D
$268$

Answer & step-by-step solution

Practice more Applications of P&C questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.

Start free trial More on Applications of P&C

Answer & step-by-step solution

Practice more Applications of P&C questions

Related questions