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KVPY2020MathematicsPermutation and Combination

The number of permutations of the letters a 1 , a 2 , a 3 , a 4 , a 5 in which the first letter a 1 does not occupy the first position (from the left) and the second letter a 2 does not occupy the second position (from the left) is

Options

  1. A96
  2. B78
  3. C60
  4. D42

Correct answer

B. 78

Step-by-step solution

(When a 1 does not occupy its position) - ( When a 1 does not occupy its position but a 2 occupy its second position)

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