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NDA2015MathematicsPermutation and CombinationActual

The number of 3-digit even numbers that can be formed from the digits 0,1,2,3,4 and 5 , repetition of digits being not allowed, is

Options

  1. A60
  2. B56
  3. C52
  4. D48

Correct answer

C. 52

Step-by-step solution

No. of digits to be filled at one's place =3 No. of digits to be filled at 10 's place =5 No. of digits to be filled at 100 's place =4 Total no. of digits formed =3 5 4=60 If zero is at 100 's place; Then; no. of digits to be filled at one's place =2 & no. of digits to be filled at 10 's place =4 No. of digits formed with zero at 100 's place =1 2 4=8 Required no. of digits formed =60-8=52 .

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