将0~9这十个数字分别填入下面算式的□内,每个数字只能用一次;那么满足条件的正确填法共有______种.

1个回答

  • 1种:3+45+978=1026,

    2种:3+48+975=1026,

    3种:3+75+948=1026,

    4种:3+78+945=1026,

    5种:4+37+985=1026,

    6种:4+85+937=1026,

    7种:4+87+935=1026,

    8种:5+37+984=1026,

    9种:5+43+978=1026,

    10种:5+48+973=1026,

    11种:5+73+948=1026,

    12 种:5+78+943=1026,

    13种:5+84+937=1026,

    14种:5+87+934=1026,

    15种:7+34+985=1026,

    16种:7+35+984=1026,

    17 种:7+84+935=1026,

    18 种:7+85+934=1026,

    19种:8+43+975=1026,

    20种:8+45+973=1026,

    21种:8+73+945=1026,

    22种:8+75+943=1026,

    23 种:2+47+986=1035,

    24种:2+86+947=1035,

    25种:2+87+946=1035,

    26种:6+47+982=1035,

    27 种:6+82+947=1035,

    28种:6+87+942=1035,

    29 种:7+42+986=1035,

    30种:7+46+982=1035,

    31种种:7+82+946=1035,

    32种:7+86+942=1035,

    33种:2+67+984=1053,

    34 种:2+84+967=1053,

    35:2+87+9⑥4=1053,

    36 种:4+67+982=1053,

    37 种:4+82+967=1053,

    38 种:4+87+962=1053,

    39种:7+62+984=1053,

    40种:7+⑥4+982=1053,

    41种:7+82+9⑥4=1053,

    42种:7+84+962=1053,

    43 种:3+74+985=1062,

    44种:3+75+984=1062,

    45 种:3+84+975=1062,

    46 种:3+85+974=1062,

    47 种:4+73+985=1062,

    48种:4+75+983=1062,

    49 种:4+83+975=1062,

    50种:4+85+973=1062,

    51种:5+73+984=1062,

    52种:5+74+983=1062,

    53种:5+83+974=1062,

    54种:5+84+973=1062,

    55种:7+42+986=1035,

    56种:7+46+982=1035,

    57种:7+82+946=1035,

    58种:7+86+942=1035,

    59种:2+67+984=1053,

    60种:2+84+967=1053;

    故答案为:60.