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Manny needs to create a four-digit password for his cellphone. If no digits can be repeated, in how many ways can this task be done?a.5,040b.10,000c.210d.7,180

Question

Manny needs to create a four-digit password for his cellphone. If no digits can be repeated, in how many ways can this task be done?a.5,040b.10,000c.210d.7,180

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Solution

To solve this problem, we need to use the concept of permutations.

Step 1: Manny has 10 choices (0-9) for the first digit of his password.

Step 2: For the second digit, since no digit can be repeated, he only has 9 choices left.

Step 3: For the third digit, he has 8 choices left.

Step 4: For the fourth and final digit, he has 7 choices left.

So, the total number of ways Manny can create his password is found by multiplying these choices together: 1098*7 = 5,040.

So, the answer is a. 5,040.

This problem has been solved

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