If two different numbers are taken from the set 0,1,2,3, ldots ldots, 10 then the probability that their sum as well as absolute difference are both multiple of 4, is :

Question

If two different numbers are taken from the set 0,1,2,3, ldots ldots, 10 then the probability that their sum as well as absolute difference are both multiple of 4, is : (A) (12/55) (B) (14/45) (C) (7/55) (D) (6/55)

Tardigrade Admin · Accepted Answer

Total number of ways = 11 C2 =55 Favourable ways are (0,4),(0,8),(4,8),(2,6),(2,10),(6,10) Probability =(6/55)

Q. If two different numbers are taken from the set ${0, 1, 2, 3, \dots\dots, 10}$ then the probability that their sum as well as absolute difference are both multiple of $4$ , is :

$\frac{12}{55}$

$\frac{14}{45}$

$\frac{7}{55}$

$\frac{6}{55}$

Total number of ways $=^{11} C_{2}$
$= 55$
Favourable ways are
$(0, 4), (0, 8), (4, 8), (2, 6), (2, 10), (6, 10)$
Probability $= \frac{6}{55}$

Q. If two different numbers are taken from the set {0,1,2,3,……,10}then the probability that their sum as well as absolute difference are both multiple of 4, is :

5512​

4514​

557​

556​