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

Permutations and Combinations: JEE Main 2023 Mathematics question

JEE Main 2023 · 30 Jan, Evening shift · Q4778

JEE Main 202330 Jan, Evening shiftMathematicsEasyPermutations and Combinations98× since 2002

The number of ways of selecting two numbers

a

and

b, a \in\{2,4,6, \ldots ., 100\}

and

b \in\{1,3,5, \ldots . ., 99\}

such that 2 is the remainder when

a+b

is divided by 23 is :

JEE Main 2023 · 30 Jan, Evening shift · Q4778

JEE Main 202330 Jan, Evening shiftMathematicsEasyPermutations and Combinations98× since 2002

The number of ways of selecting two numbers

a

and

b, a \in\{2,4,6, \ldots ., 100\}

and

b \in\{1,3,5, \ldots . ., 99\}

such that 2 is the remainder when

a+b

is divided by 23 is :