A 4-digit code is to be formed from the digits $0,1,2,3,4,5,6,7,8$ and 9 . No digit may be used more than once in any code. A code may start with 0 . (iii) Find how many codes form a number greater than 1000 .

Explanation

For a number to be greater than 1000, the first digit must be 1, 2, 3, 4, 5, 6, 7, 8, or 9. There are 9 possibilities for the first digit. The second digit can be any of the remaining 9 digits, the third digit can be any of the remaining 8 digits, and the fourth digit can be any of the remaining 7 digits. So, the total number of codes that form a number greater than 1000 is 9 * 9 * 8 * 7 = 4536.

A 4-digit code is to be formed from the digits $0,1,2,3,4,5,6,7,8$ and 9 . No digit may be used more than once in any code. A code may start with 0 . (iii) Find how many codes form a number greater than 1000 .

Explanation

⬆ Related Topic

📘 Syllabus

📝 Practice Questions

🤖 Practice with AI

📚 Related Concepts