Question
How many numbers greater than 1000 can be formed using the digits 0, 1, 2 and 3 (repetition of digits is not allowed) ?
How many numbers greater than 1000 can be formed using the digits 0, 1, 2 and 3 (repetition of digits is not allowed) ?
B. 18
To form a number greater than 1000 using the digits 0, 1, 2, 3 without repetition, the number must be a 4-digit number. The thousands place cannot be 0, so it can be filled in 3 ways (using 1, 2, or 3). The remaining 3 places can be filled with the remaining 3 digits in 3! ways. Total number of such numbers = 3 3! = 3 6 = 18. Answer: 18
Related: Mathematics — Permutation Combination · All PYQ Banks