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
- A60
- B56
- C52
- 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 .