document.write( "Question 1188843: How many four-digit numbers each less than 5000 can be formed
\n" ); document.write( "with digits 1, 2, 4, 6, 8 if no repetitions are allowed? \n" ); document.write( "
Algebra.Com's Answer #820028 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "Pick the first digit as 1,2, or 4 to ensure that the number is less than \r\n" );
document.write( "5000.\r\n" );
document.write( "\r\n" );
document.write( "That's 3 ways to pick the first digit.\r\n" );
document.write( "That leaves 4 ways to pick the second digit.\r\n" );
document.write( "That leaves 3 ways to pick the third digit.\r\n" );
document.write( "That leaves 2 ways to pick the fourth digit.\r\n" );
document.write( "\r\n" );
document.write( "Answer: There are (3)(4)(3)(2) = 72 four digit-numbers less than 5000 \r\n" );
document.write( "which can be formed with digits 1, 2, 4, 6, 8 if no repetitions are \r\n" );
document.write( "allowed.\r\n" );
document.write( "\r\n" );
document.write( "Here are all 72 (8 rows times 9 columns = 72 numbers)\r\n" );
document.write( "\r\n" );
document.write( "1246 1248 1264 1268 1284 1286 1426 1428 1462 \r\n" );
document.write( "1468 1482 1486 1624 1628 1642 1648 1682 1684 \r\n" );
document.write( "1824 1826 1842 1846 1862 1864 2146 2148 2164 \r\n" );
document.write( "2168 2184 2186 2416 2418 2461 2468 2481 2486 \r\n" );
document.write( "2614 2618 2641 2648 2681 2684 2814 2816 2841 \r\n" );
document.write( "2846 2861 2864 4126 4128 4162 4168 4182 4186 \r\n" );
document.write( "4216 4218 4261 4268 4281 4286 4612 4618 4621 \r\n" );
document.write( "4628 4681 4682 4812 4816 4821 4826 4861 4862\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );