Options:
A) 350
B) 375
C) 450
D) 576
Show Answer
Answer:
Correct Answer: B
Solution:
- Numbers greater than 1000 and less than or equal to 4000 will be of 4 digits and will have either 1 (except 1000) or 2 or 3 in the first place with 0 in each of remaining places. After fixing $ 1^{st} $ place, the second place can be filled by any of the 5 numbers. Similarly third place can be filled up in 5 ways and $ 4^{th} $ place can be filled up in 5 ways. Thus there will be $ 5\times 5\times 5=125 $ ways in which 1 will be in first place but this include 1000 also hence there will be 124 numbers having 1 in the first place. Similarly 125 for each 2 or 3. One number will be in which 4 in the first place and $ i.e. $ 4000. Hence the required numbers are $ 124+125+125+1=375 $ ways.
BETA
