874
Six three-digit numbers contain only the digits 5 and 6. This is assuming you mean both the digits of 5 and 6. If not than 8, as it would include 555 and 666. 556, 565, 566, 655, 656, 665
There are 900 three-digit numbers.
Using the digits of 1345678, there are 210 three digit numbers in which no digit is repeated.
172
100-199 has 19 numbers200-299 has 100 numbers300-399 has 19 numbers400-499 has 19 numbers500-599 has 19 numbers600-699 has 19 numbers700-799 has 19 numbers800-899 has 19 numbers900-999 has 19 numbers(8x19)+100 = 152 + 100 = 252252 three digit numbers contain the digit 2
Six three-digit numbers contain only the digits 5 and 6. This is assuming you mean both the digits of 5 and 6. If not than 8, as it would include 555 and 666. 556, 565, 566, 655, 656, 665
There are 900 three-digit numbers.
Using the digits of 1345678, there are 210 three digit numbers in which no digit is repeated.
27 three digit numbers from the digits 3, 5, 7 including repetitions.
757
172
24 three digit numbers if repetition of digits is not allowed. 4P3 = 24.If repetition of digits is allowed then we have:For 3 repetitions, 4 three digit numbers.For 2 repetitions, 36 three digit numbers.So we have a total of 64 three digit numbers if repetition of digits is allowed.
100-199 has 19 numbers200-299 has 100 numbers300-399 has 19 numbers400-499 has 19 numbers500-599 has 19 numbers600-699 has 19 numbers700-799 has 19 numbers800-899 has 19 numbers900-999 has 19 numbers(8x19)+100 = 152 + 100 = 252252 three digit numbers contain the digit 2
There are nine numbers which contain only one digit. There are 90 numbers which contain two digits. There are 900 numbers which contain three digits. There is one number which contains four digits.Therefore, the number of digits is equal to (9x1)+(90x2)+(900x3)+4 = 2893 digits. If this includes spaces, there would be 999 spaces, therefore there would be 3892 keystrokes.
21
There are only two smaller 3-digit numbers and both of them have repeated digits.
To form three-digit even numbers from the set {2, 3, 5, 6, 7}, we can use the digits 2 or 6 as the last digit (to ensure the number is even). For each case, we can choose the first two digits from the remaining four digits. For three-digit numbers, there are 2 options for the last digit and (4 \times 3 = 12) combinations for the first two digits, resulting in (2 \times 12 = 24) even numbers. For four-digit even numbers, we again have 2 options for the last digit. The first three digits can be selected from the remaining four digits, giving us (4 \times 3 \times 2 = 24) combinations for each last digit. Thus, there are (2 \times 24 = 48) even four-digit numbers. In total, there are (24 + 48 = 72) three-digit and four-digit even numbers that can be formed from the set.