Q85
In a certain laboratory, chemicals are identified by a colour-coding system. There are 20 different chemicals. Each one is coded with either a single colour or a unique two-colour pair. If the order of colours in the pairs does not matter, what is the minimum number of different colours needed to code all 20 chemicals with either a single colour or a unique pair of colours?
A.
7
B.
6
AnswerC.
5
D.
8
Answer: Option B
Solution
Answer: Option B
Solution:
Each one coded with either a single colour or unique two-colour pair.Therefore, total number of ways = n + nC2
Minimum number of different colour needed to code all 20 chemicals will be 6
= 6 + 6C2
=21