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Answer :
Final answer:
There are 10,080 numbers less than 10,000 that can be formed using the digits 1,2,3,4,5,6,7,8,9,0 with each digit occurring only once.
Explanation:
To find the number of 5-digit numbers less than 10,000 that can be formed using the digits 1,2,3,4,5,6,7,8,9,0, we need to consider the restrictions mentioned. Since each digit can only occur once in each number, we have 10 options for the first digit, 9 options for the second digit (as one digit has been used), 8 options for the third digit, and 7 options for the fourth digit. Lastly, the fifth digit must be divisible by 5, so the options are 0 and 5. Therefore, the number of numbers that can be formed is 10 * 9 * 8 * 7 * 2 = 10,080.
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