document.write( "Question 1133838: three-digit numbers are formed using the digits 2, 4, 5, and 7, with repetition of digits allowed. how many such numbers can be formed if
\n" ); document.write( "(a) the numbers are less than 700
\n" ); document.write( "(b) the numbers are even
\n" ); document.write( "(c) the numbers are divisible by 5
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\n" ); document.write( "(a) the numbers are less than 700

\n" ); document.write( "3 choices for the hundreds digit; 4 choices each for the other two: 3*4*4 = 48

\n" ); document.write( "(b) the numbers are even

\n" ); document.write( "2 choices for the units digit; 4 choices each for the other two: 2*4*4 = 32

\n" ); document.write( "(c) the numbers are divisible by 5

\n" ); document.write( "1 choice for the units digit; 4 choices each for the other two: 1*4*4 = 16

\n" ); document.write( "Total 48+32+16 = 96
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