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How many four digit numbers can be formed out of 123 if a digit can be repeated?
There are 3 values (1, 2, 3) for each of the 4 digits. Therefore, there are 3*3*3*3 or 81 four digit numbers that can be formed.
How many 3-digit numbers can made using the digits 2 3 4?
If you can repeat a digit, there are 27. If you can't repeat a digit, there are only 6.
If you are not allowed to repeat a digit how many 3-digit numbers can be made from the digits 1 2 3 4 and 5?
60. There are 5 different choices for the first digit, four for the second digit, and three choices for the third digit. According to the fundamental counting principle, you multiply them together to get the total number of possible ways, and 5 x 4 x 3 = 60 Another way to think about it is 5!/3!
What 2 numbers add together to equal -9 and multiply to equal 81?
There are no two real numbers that will add to -9 and multiply to 81. Using complex numbers, the two numbers are: (-9/2 + i9/2√3) and (-9/2 - i9/2√3)
How many even 3-digit numbers can be formed from the digits 1 2 3 and 5 if each digit can be used only once?
The final digit must be a 2 to form an even number. The first digit may be any of three remaining digits (1, 3, 5) while the second digit may be any of the two remaining digits. All together, that makes 3*2 = 6 distinct even numbers.
