Question

2 copies of a code module are to be executed in parallel on identical processors organized into two communicating clusters A and B. Cluster A contains 8 processors and cluster B contains 4 processors. How many sets of processors can be used if cluster A has 2 failed processors and cluster B has 4 failed processors?

Answer 1

Answer: There are 15 sets of processors.

Explanation:

Since we have given that

Number of processors in cluster A = 8

Number of processors in cluster B = 4

Total processors = 12

Number of failed processors in cluster A = 2

Number of failed processors in cluster B = 4

Total failed processors = 2+4 = 6

So, Not failed processors = 12-6 = 6

Number of copies = 2

So, Number of sets of processors can be used is given by

`^6C_2\\\\=15`

Hence, there are 15 sets of processors.