The number of points having position vector

MATHEMATICS · Single correct · CBSE · Mathematics · Number Play · Number Play

Problem

a\mathbf{i}+b\mathbf{j}+c\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 (1)

70

(2)

140

(3)

210

(4)

280