How many 3-digit numbers can be formed with the digits 1,4,7,8 and 9 if the digits are not repeated?	Pick one
A) 60	B) 41	C) 42	D) 62	E) 61
Three digit numbers 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)   =&gt; By counting principle, the number of 3 digit numbers =5×4×3==5×4×3= 60   Option is 60
<result>A</result>
How many 3-digit numbers can be formed with the digits 1,4,7,8 and 9 if the digits are not repeated?