document.write( "Question 299498: How many three-digit numbers can be formed under the following conditions?
\n" ); document.write( " (a) The leading digit cannot be zero
\n" ); document.write( " (b) the leading digit cannot be zero and no repetition of digits
\n" ); document.write( " (c) the leading digit cannot be zero and the number must be a multiple of 5
\n" ); document.write( " (d) the number is at least 400\r
\n" ); document.write( "\n" ); document.write( "for (a) i tried doing 9^3 which gives me 729, the ans. in the back of the book says 900, i also tried doing 9 nCr 3 which gave me 85, and 9!/3!
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Algebra.Com's Answer #215186 by checkley77(12844)\"\" \"About 
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(a) The leading digit cannot be zero
\n" ); document.write( " The first digit is 1 of 8 the next 2 are 1 of 10.
\n" ); document.write( " 9*10*10=900 ans.\r
\n" ); document.write( "\n" ); document.write( " (b) the leading digit cannot be zero and no repetition of digits
\n" ); document.write( " 9*9*8=648 ans.\r
\n" ); document.write( "\n" ); document.write( " (c) the leading digit cannot be zero and the number must be a multiple of 5
\n" ); document.write( " 9*8*1=72 ans.
\n" ); document.write( " (d) the number is at least 400
\n" ); document.write( " 1*9*8=72 ans.
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