MathematicsThe number of ways to select 2 numbers from {0,1,2,3,4} such that the sum of the squares of the selected numbers is divisible by 5 are (repetition of digits is allowed)

The number of ways to select 2 numbers from ${0, 1, 2, 3, 4}$ such that the sum of the squares of the selected numbers is divisible by 5 are (repetition of digits is allowed)

A
$^{9} C_{1}$
B
$^{9} C_{8}$
C
9
D
7

Solution:

Given digits 0, 1, 2, 3, 4

The possible numbers such that the sum of the squares is divisible by 5 are 00, 12, 13, 24, 42, 31, 21, 34, 43

Number of numbers $= 9 (o r)^{9} C_{1} (o r)^{9} C_{8}$

Related content

Area of Square

Area of Isosceles Triangle

Pythagoras Theorem

Triangle Formulae

Perimeter of Triangle Formula

Area Formulae

Volume of Cone Formula

Matrices and Determinants_mathematics

Critical Points Solved Examples

Type of relations_mathematics