The number of ways of selecting two numbers … and … and … such that 2 is the remainder when … is divided by 23 is :

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Permutations and Combinations

JEE Main 2023 · 30 Jan, Evening shift · Q4778

MathematicsEasy98×since 2002Q4778

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

MathematicsEasy98×since 2002Q4778

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 :