How many 4-digit combinations can be made out of the numbers 1 2 3 4 5 6 7 8 without repeating the number in the same digit

There are 70 possible 4 digit combinations without repeating a number in the same combination.

Step-by-step explanation:

{1,2,3,4} {1,2,3,5} {1,2,3,6} {1,2,3,7} {1,2,3,8} {1,2,4,5} {1,2,4,6} {1,2,4,7} {1,2,4,8} {1,2,5,6} {1,2,5,7} {1,2,5,8} {1,2,6,7} {1,2,6,8} {1,2,7,8} {1,3,4,5} {1,3,4,6} {1,3,4,7} {1,3,4,8} {1,3,5,6} {1,3,5,7} {1,3,5,8} {1,3,6,7} {1,3,6,8} {1,3,7,8} {1,4,5,6} {1,4,5,7} {1,4,5,8} {1,4,6,7} {1,4,6,8} {1,4,7,8} {1,5,6,7} {1,5,6,8} {1,5,7,8} {1,6,7,8} {2,3,4,5} {2,3,4,6} {2,3,4,7} {2,3,4,8} {2,3,5,6} {2,3,5,7} {2,3,5,8} {2,3,6,7} {2,3,6,8} {2,3,7,8} {2,4,5,6} {2,4,5,7} {2,4,5,8} {2,4,6,7} {2,4,6,8} {2,4,7,8} {2,5,6,7} {2,5,6,8} {2,5,7,8} {2,6,7,8} {3,4,5,6} {3,4,5,7} {3,4,5,8} {3,4,6,7} {3,4,6,8} {3,4,7,8} {3,5,6,7} {3,5,6,8} {3,5,7,8} {3,6,7,8} {4,5,6,7} {4,5,6,8} {4,5,7,8} {4,6,7,8} {5,6,7,8}

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step-by-step explanation: