Elijah forgot his pass code for a certain website. He

dikcijom2k

dikcijom2k

Answered question

2022-07-07

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?

Answer & Explanation

diamondogsaz

diamondogsaz

Beginner2022-07-08Added 12 answers

Step 1
Use the permutation formula, as order matters, to determine the number of permutations that are possible. Call the number of permutations P. There are 10 possible digits to choose from, and he needs to choose 5 different digits, so P is given by
P = n ! ( n - r ) !
P = 10 ! ( 10 - 5 ) !
P = 30240
Step 2
If he randomly chooses one set of 5 digits, than his chances that he chooses the correct pass code is 1 30 , 240 .

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