If two different numbers are taken from the set

• Probability

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

1. 6/55
2. 12/55
3. 14/45
4. 7/55

Solution

Consider two sequences: 0, 4, 8 and 2, 6, 10

Take both numbers from either of these sequences.

Hence, probability = (³C₂ + ³C₂)/¹¹C₂

= 6/55

The correct option is A.