document.write( "Question 1084607: How many 4 even digits number can be formed with the digits 0,1,2,3,4,6,7.Numbers can only be used one only. Ans 420 \n" ); document.write( "
Algebra.Com's Answer #698704 by Edwin McCravy(20081)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Sorry, but the answer cannot be 420.  It is either 18 or 750.\r\n" );
document.write( "They are ALL listed below.\r\n" );
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document.write( "If \"4 even digits number\" means \"4-digit numbers with only even digits\",\r\n" );
document.write( "the answer is 18:\r\n" );
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document.write( "Choose the first digit 3 ways, as 2,4, or 6  \r\n" );
document.write( "(1st digit can't be chosen as 0.)\r\n" );
document.write( "Choose the second digit 3 ways as any of the 3 remaining digits.\r\n" );
document.write( "Choose the third digit either of the 2 remaining digits.\r\n" );
document.write( "Choose the fourth digit as the only remaining even digit.\r\n" );
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document.write( "3*3*2*1 = 18\r\n" );
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document.write( "Here are the only 18 4-digit numbers with only even digits:\r\n" );
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document.write( "2046, 2064, 2406, 2460, 2604, 2640, \r\n" );
document.write( "4026, 4062, 4206, 4260, 4602, 4620, \r\n" );
document.write( "6024, 6042, 6204, 6240, 6402, 6420.\r\n" );
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document.write( "If \"4 even digits number\" means \"4-digit even numbers\",\r\n" );
document.write( "the answer is 720:\r\n" );
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document.write( "Case 1.  The number has last digit 0:\r\n" );
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document.write( "Choose the last (fourth) digit 1 way, (as 0).\r\n" );
document.write( "Choose the first digit 7 ways, (as 1,2,3,4,5,6,7).\r\n" );
document.write( "Choose the second digit any of the 6 remaining ways.\r\n" );
document.write( "Choose the third digit any of the 5 remaining ways.\r\n" );
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document.write( "That's 1*7*6*5 = 210 ways\r\n" );
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document.write( "Case 2.  The number has last digit 2,4, or 6:\r\n" );
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document.write( "Choose the fourth (last) digit 3 ways, (as 2, 4, or 6).\r\n" );
document.write( "Choose the first digit any of the 5 remaining ways \r\n" );
document.write( " other than 0 (can't choose 0 for the first digit)\r\n" );
document.write( "Choose the second digit any of the 5 remaining ways.\r\n" );
document.write( "Choose the third digit any of the 4 remaining ways.\r\n" );
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document.write( "That's 3*6*6*5 = 540 ways.\r\n" );
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document.write( "Total for both cases = 210+540 = 750\r\n" );
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document.write( "Here are all 750 4-digit even numbers, 30 rows with 25 in each row:\r\n" );
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document.write( "1024, 1026, 1032, 1034, 1036, 1042, 1046, 1052, 1054, 1056, 1062, 1064, 1072, 1074, 1076, 1204, 1206, 1230, 1234, 1236, 1240, 1246, 1250, 1254, 1256\r\n" );
document.write( "1260, 1264, 1270, 1274, 1276, 1302, 1304, 1306, 1320, 1324, 1326, 1340, 1342, 1346, 1350, 1352, 1354, 1356, 1360, 1362, 1364, 1370, 1372, 1374, 1376\r\n" );
document.write( "1402, 1406, 1420, 1426, 1430, 1432, 1436, 1450, 1452, 1456, 1460, 1462, 1470, 1472, 1476, 1502, 1504, 1506, 1520, 1524, 1526, 1530, 1532, 1534, 1536\r\n" );
document.write( "1540, 1542, 1546, 1560, 1562, 1564, 1570, 1572, 1574, 1576, 1602, 1604, 1620, 1624, 1630, 1632, 1634, 1640, 1642, 1650, 1652, 1654, 1670, 1672, 1674\r\n" );
document.write( "1702, 1704, 1706, 1720, 1724, 1726, 1730, 1732, 1734, 1736, 1740, 1742, 1746, 1750, 1752, 1754, 1756, 1760, 1762, 1764, 2014, 2016, 2034, 2036, 2046\r\n" );
document.write( "2054, 2056, 2064, 2074, 2076, 2104, 2106, 2130, 2134, 2136, 2140, 2146, 2150, 2154, 2156, 2160, 2164, 2170, 2174, 2176, 2304, 2306, 2310, 2314, 2316\r\n" );
document.write( "2340, 2346, 2350, 2354, 2356, 2360, 2364, 2370, 2374, 2376, 2406, 2410, 2416, 2430, 2436, 2450, 2456, 2460, 2470, 2476, 2504, 2506, 2510, 2514, 2516\r\n" );
document.write( "2530, 2534, 2536, 2540, 2546, 2560, 2564, 2570, 2574, 2576, 2604, 2610, 2614, 2630, 2634, 2640, 2650, 2654, 2670, 2674, 2704, 2706, 2710, 2714, 2716\r\n" );
document.write( "2730, 2734, 2736, 2740, 2746, 2750, 2754, 2756, 2760, 2764, 3012, 3014, 3016, 3024, 3026, 3042, 3046, 3052, 3054, 3056, 3062, 3064, 3072, 3074, 3076\r\n" );
document.write( "3102, 3104, 3106, 3120, 3124, 3126, 3140, 3142, 3146, 3150, 3152, 3154, 3156, 3160, 3162, 3164, 3170, 3172, 3174, 3176, 3204, 3206, 3210, 3214, 3216\r\n" );
document.write( "3240, 3246, 3250, 3254, 3256, 3260, 3264, 3270, 3274, 3276, 3402, 3406, 3410, 3412, 3416, 3420, 3426, 3450, 3452, 3456, 3460, 3462, 3470, 3472, 3476\r\n" );
document.write( "3502, 3504, 3506, 3510, 3512, 3514, 3516, 3520, 3524, 3526, 3540, 3542, 3546, 3560, 3562, 3564, 3570, 3572, 3574, 3576, 3602, 3604, 3610, 3612, 3614\r\n" );
document.write( "3620, 3624, 3640, 3642, 3650, 3652, 3654, 3670, 3672, 3674, 3702, 3704, 3706, 3710, 3712, 3714, 3716, 3720, 3724, 3726, 3740, 3742, 3746, 3750, 3752\r\n" );
document.write( "3754, 3756, 3760, 3762, 3764, 4012, 4016, 4026, 4032, 4036, 4052, 4056, 4062, 4072, 4076, 4102, 4106, 4120, 4126, 4130, 4132, 4136, 4150, 4152, 4156\r\n" );
document.write( "4160, 4162, 4170, 4172, 4176, 4206, 4210, 4216, 4230, 4236, 4250, 4256, 4260, 4270, 4276, 4302, 4306, 4310, 4312, 4316, 4320, 4326, 4350, 4352, 4356\r\n" );
document.write( "4360, 4362, 4370, 4372, 4376, 4502, 4506, 4510, 4512, 4516, 4520, 4526, 4530, 4532, 4536, 4560, 4562, 4570, 4572, 4576, 4602, 4610, 4612, 4620, 4630\r\n" );
document.write( "4632, 4650, 4652, 4670, 4672, 4702, 4706, 4710, 4712, 4716, 4720, 4726, 4730, 4732, 4736, 4750, 4752, 4756, 4760, 4762, 5012, 5014, 5016, 5024, 5026\r\n" );
document.write( "5032, 5034, 5036, 5042, 5046, 5062, 5064, 5072, 5074, 5076, 5102, 5104, 5106, 5120, 5124, 5126, 5130, 5132, 5134, 5136, 5140, 5142, 5146, 5160, 5162\r\n" );
document.write( "5164, 5170, 5172, 5174, 5176, 5204, 5206, 5210, 5214, 5216, 5230, 5234, 5236, 5240, 5246, 5260, 5264, 5270, 5274, 5276, 5302, 5304, 5306, 5310, 5312\r\n" );
document.write( "5314, 5316, 5320, 5324, 5326, 5340, 5342, 5346, 5360, 5362, 5364, 5370, 5372, 5374, 5376, 5402, 5406, 5410, 5412, 5416, 5420, 5426, 5430, 5432, 5436\r\n" );
document.write( "5460, 5462, 5470, 5472, 5476, 5602, 5604, 5610, 5612, 5614, 5620, 5624, 5630, 5632, 5634, 5640, 5642, 5670, 5672, 5674, 5702, 5704, 5706, 5710, 5712\r\n" );
document.write( "5714, 5716, 5720, 5724, 5726, 5730, 5732, 5734, 5736, 5740, 5742, 5746, 5760, 5762, 5764, 6012, 6014, 6024, 6032, 6034, 6042, 6052, 6054, 6072, 6074\r\n" );
document.write( "6102, 6104, 6120, 6124, 6130, 6132, 6134, 6140, 6142, 6150, 6152, 6154, 6170, 6172, 6174, 6204, 6210, 6214, 6230, 6234, 6240, 6250, 6254, 6270, 6274\r\n" );
document.write( "6302, 6304, 6310, 6312, 6314, 6320, 6324, 6340, 6342, 6350, 6352, 6354, 6370, 6372, 6374, 6402, 6410, 6412, 6420, 6430, 6432, 6450, 6452, 6470, 6472\r\n" );
document.write( "6502, 6504, 6510, 6512, 6514, 6520, 6524, 6530, 6532, 6534, 6540, 6542, 6570, 6572, 6574, 6702, 6704, 6710, 6712, 6714, 6720, 6724, 6730, 6732, 6734\r\n" );
document.write( "6740, 6742, 6750, 6752, 6754, 7012, 7014, 7016, 7024, 7026, 7032, 7034, 7036, 7042, 7046, 7052, 7054, 7056, 7062, 7064, 7102, 7104, 7106, 7120, 7124\r\n" );
document.write( "7126, 7130, 7132, 7134, 7136, 7140, 7142, 7146, 7150, 7152, 7154, 7156, 7160, 7162, 7164, 7204, 7206, 7210, 7214, 7216, 7230, 7234, 7236, 7240, 7246\r\n" );
document.write( "7250, 7254, 7256, 7260, 7264, 7302, 7304, 7306, 7310, 7312, 7314, 7316, 7320, 7324, 7326, 7340, 7342, 7346, 7350, 7352, 7354, 7356, 7360, 7362, 7364\r\n" );
document.write( "7402, 7406, 7410, 7412, 7416, 7420, 7426, 7430, 7432, 7436, 7450, 7452, 7456, 7460, 7462, 7502, 7504, 7506, 7510, 7512, 7514, 7516, 7520, 7524, 7526\r\n" );
document.write( "7530, 7532, 7534, 7536, 7540, 7542, 7546, 7560, 7562, 7564, 7602, 7604, 7610, 7612, 7614, 7620, 7624, 7630, 7632, 7634, 7640, 7642, 7650, 7652, 7654\r\n" );
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document.write( "Be sure to tell your teacher that 420 is wrong, \r\n" );
document.write( "and that the correct answer is 750. \r\n" );
document.write( "Edwin
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