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In a GSM system, $8$ channels can co-exist in $200 \; \mathrm{kHz}$ bandwidth using TDMA. A GSM based cellular operator is allocated $5 \; \mathrm{MHz}$ bandwidth. Assuming a frequency reuse factor of $\frac{1}{5}$, i.e. a five-cell repeat pattern, the maximum number of simultaneous channels that can exist in one cell is

  1. $200$
  2. $40$
  3. $25$
  4. $5$
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