用01234可以组成多少个没有重复数字又是偶数的四位数?

2025-04-07 14:57:52
推荐回答(4个)
回答1:

偶数,最后一位可能是0,2,4
当最后一位是0的时候,第一位有4种,第二位有3种,第三位有2种。
所以油4*3*2=24种
当最后一位是2,4的时候,第一位有3种,第二位有3种,第三位有2种。
所以油2*3*3*2=36种
加起来有24+36=60种

回答2:

正好300个,1000
1002
1004
1010
1012
1014
1020
1022
1024
1030
1032
1034
1040
1042
1044
1100
1102
1104
1110
1112
1114
1120
1122
1124
1130
1132
1134
1140
1142
1144
1200
1202
1204
1210
1212
1214
1220
1222
1224
1230
1232
1234
1240
1242
1244
1300
1302
1304
1310
1312
1314
1320
1322
1324
1330
1332
1334
1340
1342
1344
1400
1402
1404
1410
1412
1414
1420
1422
1424
1430
1432
1434
1440
1442
1444
2000
2002
2004
2010
2012
2014
2020
2022
2024
2030
2032
2034
2040
2042
2044
2100
2102
2104
2110
2112
2114
2120
2122
2124
2130
2132
2134
2140
2142
2144
2200
2202
2204
2210
2212
2214
2220
2222
2224
2230
2232
2234
2240
2242
2244
2300
2302
2304
2310
2312
2314
2320
2322
2324
2330
2332
2334
2340
2342
2344
2400
2402
2404
2410
2412
2414
2420
2422
2424
2430
2432
2434
2440
2442
2444
3000
3002
3004
3010
3012
3014
3020
3022
3024
3030
3032
3034
3040
3042
3044
3100
3102
3104
3110
3112
3114
3120
3122
3124
3130
3132
3134
3140
3142
3144
3200
3202
3204
3210
3212
3214
3220
3222
3224
3230
3232
3234
3240
3242
3244
3300
3302
3304
3310
3312
3314
3320
3322
3324
3330
3332
3334
3340
3342
3344
3400
3402
3404
3410
3412
3414
3420
3422
3424
3430
3432
3434
3440
3442
3444
4000
4002
4004
4010
4012
4014
4020
4022
4024
4030
4032
4034
4040
4042
4044
4100
4102
4104
4110
4112
4114
4120
4122
4124
4130
4132
4134
4140
4142
4144
4200
4202
4204
4210
4212
4214
4220
4222
4224
4230
4232
4234
4240
4242
4244
4300
4302
4304
4310
4312
4314
4320
4322
4324
4330
4332
4334
4340
4342
4344
4400
4402
4404
4410
4412
4414
4420
4422
4424
4430
4432
4434
4440
4442
4444

回答3:

首先最高位:
1.最高位为偶数:有两种选择2,4;最低位有两种选择0和另一个偶数
2*2*3*2=24种
2.最高位为奇数:有两种选择;最低位有3种选择
2*3*3*2=36种
3.两种结果加起来24+36=60;
和楼上的结果一样,不过他是按末位是否为零讨论,我是按最高位是否为偶数,道理上是一样的。
总之这道题一定要讨论的

回答4:

共60种

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