Question

How many four digit numbers can be formed that are less than $3000$ and can be formed with the digits $2,3,4,5,6$ when repetition of digits is allowed?

• A. $625$
• B. $125$
• C. $25$
• D. $200$

Answer 1

Answer: (B)

$125$

The number has to be less than $3000$. So the first digit can be only 2 .. The rest of the 3 blocks can be filled by 5 ways each (repetition is allowd)

Number of 4 digits$=5\times 5\times 5=125$