Table of Contents
How many three digit codes can be formed using digits 0 9?
If order mattered, we would say select the first number (10 choices), then the second (9 choices) then the third (8 choices). So there would be 10 x 9 x 8 = 720 possible choices.
How many different three digit numbers can be formed using the digits without repetition?
You have 8 choices for the third digit (digits 0 – 9 excluding the numbers you chose for the first and second digit). So by the multiplication principle (MP), there are 9*9*8 ways to do this. So there are 648 numbers that are 3 digit numbers and have no repeated digits.
How many ways can a 3 digit number be formed?
A three digit number is to be formed from given 5 digits 1,2,3,4,5. Now, there are 5 ways to fill ones place. Since, repetition is allowed , so tens place can also be filled by 5 ways. Similarly,hundreds place can also be filled by 5 ways.
How many 3 digit numbers are there without repetition of digits?
The third digit has 8 options, i.e. 0–9 without the two digits already appeared. The number of 3-digit numbers without repetition of digits is then 9 × 9 × 8 = 648. Another way to look at it:
How many three digit numbers are there with one past the decimal?
If 12.3 is a three digit number, then there are again 9 possible first digits, 9 possible second digits, but only 9–2 third digits, because 0 cannot be the third digit now; just as in 012, 12.0 is really just 12, you drop the trailing zero after a decimal. So 9*9*7=567 three digit numbers with one past the decimal place
How many ways can a tens place be filled with 5 digits?
Similarly, tens and hundreds digits can be filled in by any given 5 digits. ii) A three digit number is to be formed from given 5 digits 1,2,3,4,5. Now, there are 5 ways to fill ones place. Since, repetition is not allowed , so tens place can be filled by remaining 4 digits. So, tens place can be filled in 4 ways.