Q56 / 160 · TS EAMCET 2025 (03 May Shift 1) · Mathematics

There are 15 stations on a train route and the train has to be stopped at exactly 5 stations among these 15 stations. If it stops at atleast two consecutive stations, then the number of ways in which the train can be stopped is

  • A
    ${ }^{11} \mathrm{C}_5$
  • B
    ${ }^{15} \mathrm{C}_5$
  • Correct answer
    C
    ${ }^{15} \mathrm{C}_5-{ }^{11} \mathrm{C}_5$
  • D
    ${ }^{15} \mathrm{C}_{10}-{ }^9 \mathrm{C}_5$

Hence, the correct answer is option: 'C'.

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