Re: How many positive integers less than 500 can be formed using
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20 Apr 2018, 03:35
\(500\) is a three digit number so possible numbers below \(500\) can be \(1\) digit, \(2\) digit, and \(3\) digit numbers above \(100\) and less than \(500\)
However not all the numbers are included only those numbers that are formed by use of \(1,2,3\) and \(5\)
Three digit numbers:
There are three places for three digit numbers Hundreds, tens and unit so
for the hundreds place except \(5\) all given number can be placed so there are \(3\) possibilities
for the tens place there are \(4\) possibilities and
for ones place there are \(4\) possibilities too
in total \(3*4*4 = 48\)
For \(2\) digits:
there are \(4\) possibilities for tens place and \(4\) possibilities for units place
therefore, \(4*4 = 16\)
For \(1\) digit there is \(4\) possibility
Therefore total possibility = \(48+ 16 + 4 = 68\)
option D