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A seven digit number is formed using digits 3 , 3 , 4 , 4 , 4 , 5 , 5 . The probability, that number so formed is divisible by 2 , is

Options

  1. A4 7
  2. B3 7
  3. C1 7
  4. D6 7

Correct answer

B. 3 7

Step-by-step solution

Digits = 3 , 3 , 4 , 4 , 4 , 5 , 5 Total 7 digit numbers = 7 ! 2 ! 2 ! 3 ! Number of 7 digit number divisible by 2 ⇒ last digit = 4 Now 7 digit numbers which are divisible by 2 = 6 ! 2 ! 2 ! 2 ! Required probability = 6 ! 2 ! 2 ! 2 ! 7 ! 3 ! 2 ! 2 ! = 3 7

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