Question

How many $3$ digit numbers can be formed using the digits $0,1,2,3,4,5,6,7,8$ where digits may be repeated?

• A. $900$
• B. $980$
• C. $800$
• D. $250$

Answer 1

Answer: (A)

$900$

$0,1,2,3,4,5,6,7,8$

Repetition allowed

Number of digits $=9$

$=9\times 9\times 8=81\times 8$

$=648$

Note : if the question is $0,1,2,3,4,5,6,7,8,9$

$=9\times 9\times 10$

Then the answer is $900$