Final answer:
There are 252 different numeric sequences on the machine that contain no repeated digits.
Step-by-step explanation:
How many different numeric sequences on the machine contain no repeated digit?
To find the number of different numeric sequences on the machine that contain no repeated digits, we can use the concept of permutations. A permutation is an arrangement of objects in a specific order.
Since there are 10 possible digits (0 to 9) and we want to choose a sequence of 5 digits with no repetition, we can use the formula for the number of permutations:
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- Calculate the number of permutations: 10 P 5 = 10! / (10-5)! = 10! / 5! = 30240 / 120 = 252
Therefore, there are 252 different numeric sequences on the machine that contain no repeated digit.