Number of points having position vector a i ˉ + b j ˉ + c k ˉ when a , b , c ∈ { 1 , 2 , 3 , 4 , 5 } such that 2 a + 3 b + 5 c is divisible by 4 is

Start Free Mock LoginAlready registered? Login here

Mathematics - Permutation & Combination Question with Solution | TestHub

MathematicsPermutation & CombinationFundamental PrincipleMedium2 minQB

MathematicsMediumsingle choice

Number of points having position vector $a \overset{ˉ}{i} + b \overset{ˉ}{j} + c \overset{ˉ}{k}$ when $a, b, c \in {1, 2, 3, 4, 5}$ such that $2^{a} + 3^{b} + 5^{c}$ is divisible by 4 is

Options:

Answer:

Solution:

$4 m = 2^{a} + 3^{b} + 5^{c} = 2^{a} + (4 - 1)^{b} + (1 + 4)^{c}$

Stream:JEESubject:MathematicsTopic:Permutation & CombinationSubtopic:Fundamental Principle

⏱ 2mℹ️ Source: QB

Doubts & Discussion

Loading discussions...