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JEE MATHEMATICS MCQ: PERMUTATIONS

1 Easy

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Analyzing +4 | -1

Number of points having position vector

a \hat{\mathbf{i}}+b \hat{\mathbf{j}}+c \hat{\mathbf{k}}

, where

a, b, c \in\{1,2,3,4,5\}

such that

2^a+3^b+5^c

is divisible by 4 , is

View answer and explanation

Correct option: A

70

The correct answer is A (70) because by analyzing the divisibility rule of 4 for the expression

2^a + 3^b + 5^c

, we find that there are 70 possible combinations of

a, b,

and

c

that satisfy the condition.

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