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How many 3-digit numbers can be formed with the digits 1,4,7,8 and 9 if the digits are not repeated ?

Correct Answer: 60

Explanation:

Three digit number will have unit’s, ten’s and hundred’s place.


 


Out of 5 given digits any one can take the unit’s place.


 


This can be done in 5 ways. ...              (i)


 


After filling the unit’s place, any of the four remaining digits can take the ten’s place.


 


This can be done in 4 ways. ...              (ii)


 


After filling in ten’s place, hundred’s place can be filled from any of the three remaining digits.


 


This can be done in 3 ways. ... (iii) 


 


So,by counting principle, the number of 3 digit numbers = 5x 4 x 3 = 60


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