NDA2024MathematicsPermutation and CombinationActual
What is the sum of all four digit numbers formed by using all digits 0,1,4,5 without repetition of digits?
Options
- A44440
- B46460
- C46440
- D64440
Correct answer
D. 64440
Step-by-step solution
Sum of all four digit number start with 1 aligned & =1 6 1000+18 100+18 10+18 & =6000+1800+180+18=7998 aligned Sum of all four digit numbers start with 4 aligned & =4 6 1000+12 100+12 10+12 & =24000+1200+120+12=25332 aligned Sum of all four digit numbers start with 5 aligned & =6 5 1000+10 100+10 10+10 & =30000+1000+110=31110 aligned Required sum =7998+25332+31110=64440 .