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      Question

      A selection of 7 cars must be made from a total of 13

      cars for an exhibition. However, one specific car must always be included in the selection. If the cars are chosen one by one, determine the total number of ways in which this selection can be made.
      A 848 × 6! Correct Answer Incorrect Answer
      B 924 × 7! Correct Answer Incorrect Answer
      C 544 × 7! Correct Answer Incorrect Answer
      D 712 × 6! Correct Answer Incorrect Answer

      Solution

      Since, 1 car is always chosen, therefore, 6 cars has to be chosen out of 12 cars. Therefore, number of ways of choosing the cars = 12C6 = 12!/{6! × (12 – 6)!} = 924 Required number of ways for the exhibition of cars = 924 × 7!

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