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How many three-digit numbers can be formed from the digits 1, 2, 6, 3, 5 (without repetition)

Sagot :

Answer:

To find out how many three-digit numbers can be formed from the digits 1, 2, 6, 3, and 5 (without repetition), we can use the concept of permutations.

Since we are forming three-digit numbers, we need to consider the following:

1. The first digit cannot be 0.

2. The digits must be distinct (without repetition).

The number of ways to arrange n distinct objects is given by n! (n factorial).

For this problem:

- We have 5 digits to choose from for the first digit.

- Once the first digit is chosen, we have 4 remaining digits for the second digit.

- After selecting the first two digits, we have 3 remaining digits for the third digit.

Therefore, the total number of three-digit numbers that can be formed is:

5 (choices for the first digit) * 4 (choices for the second digit) * 3 (choices for the third digit) = 60

Hence, there are 60 three-digit numbers that can be formed from the digits 1, 2, 6, 3, and 5 without repetition.