The number of crosspoints needed for 10 lines in a crosspoint switch, which is…
2018
The number of crosspoints needed for 10 lines in a crosspoint switch, which is full duplex in nature and there is no self-connection, is —
- A.
100
- B.
45
- C.
50
- D.
90
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Correct answer: D
Key idea: In a full duplex crosspoint switch without self-connections, each ordered pair of distinct lines requires one crosspoint. Total ordered pairs: For n lines there are n×(n−1) ordered pairs because each of the n source lines can connect to (n−1) other destination lines.