Q:
How many 3-digit numbers can be formed with the digits 1,4,7,8 and 9 if the digits are not repeated ?
Answer & Explanation
Answer: A) 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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