Question

The number of integers greater than 6,000 that can be formed,using the digits 3,5,6,7 and 8, without repetition, is

• A. $192$
• B. $120$
• C. $72$
• D. $216$

Answer 1

The correct option is A $192$

Given digits : $3,5,6,7,8$

case: 4 digits number

Total 4 digits number $=3\times 4\times 3\times 2=72$

Case: 5 digits numbers are always greater than 6000

Total 5 digit number $=120$

Total nmber greater tha $600=120+72$

$=192$