Question

The total number of three digit and five digit integers which can be formed by using the digits $0,1,2,3,4,5$ but using each digit not more than once in each number is

• A. 100
• B. 600
• C. 700
• D. 800

Answer 1

Answer: (C)

Total number of three digit numbers $=5\times 5\times 4=100$
Total number of five digit numbers $=5\times 5\times 4\times 3\times 2=600$
$\therefore$ Total number of required numbers $=100+600=700$