Elijah forgot his pass code for a certain website. He knows it is made up of 5 digits and no digit can be repeated. If he randomly chooses 5 different digits, what is the probability that he chooses his pass code?
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Answer:
1/30240
Step-by-step explanation:
Total number of combination with 5 digits with no repeats
total digits 0 -9 = 10
1st digit can be selected out of 10 available digits
2nd digit can be selected out of 9 available digits
3rd digit can be selected out of 8 available digits
4th digit can be selected out of 7 available digits
5th digit can be selected out of 6 available digits
= 10 * 9 * 8 * 7 * 6
= 30240
Probability of choosing his pass code = 1/30240
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