SOLUTION: how many 4 digit number combinations can u make out of this 4 numbers 0189 and what are they

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Question 1013380: how many 4 digit number combinations can u make out of this 4 numbers 0189 and what are they
Answer by mathmate(429)   (Show Source): You can put this solution on YOUR website!

Question:
how many 4 digit number combinations can u make out of this 4 numbers 0189 and what are they.

Solution:
Since it is not mentioned if repetition is permitted, it will be assumed to be allowed.
There are four choices for each digit, except the first which cannot be a zero, in which case the number becomes a 3-digit number.

Therefore there are 3*4*4*4=192 possible 4-digit numbers out of the given digits.
The list of digits in ascending order is therefore:
1000
1001
1008
1009
1010
1011
1018
1019
1080
1081
1088
1089
1090
1091
1098
1099
1100
1101
1108
1109
1110
1111
1118
1119
1180
1181
1188
1189
1190
1191
1198
1199
1800
1801
1808
1809
1810
1811
1818
1819
1880
1881
1888
1889
1890
1891
1898
1899
1900
1901
1908
1909
1910
1911
1918
1919
1980
1981
1988
1989
1990
1991
1998
1999
8000
8001
8008
8009
8010
8011
8018
8019
8080
8081
8088
8089
8090
8091
8098
8099
8100
8101
8108
8109
8110
8111
8118
8119
8180
8181
8188
8189
8190
8191
8198
8199
8800
8801
8808
8809
8810
8811
8818
8819
8880
8881
8888
8889
8890
8891
8898
8899
8900
8901
8908
8909
8910
8911
8918
8919
8980
8981
8988
8989
8990
8991
8998
8999
9000
9001
9008
9009
9010
9011
9018
9019
9080
9081
9088
9089
9090
9091
9098
9099
9100
9101
9108
9109
9110
9111
9118
9119
9180
9181
9188
9189
9190
9191
9198
9199
9800
9801
9808
9809
9810
9811
9818
9819
9880
9881
9888
9889
9890
9891
9898
9899
9900
9901
9908
9909
9910
9911
9918
9919
9980
9981
9988
9989
9990
9991
9998
9999

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