# How many combinations of three can you make with 5 choices?

5**C**3 = 10

### How many three digit numbers can you make using the digits using 5 different numbers if no digit appears more than once in a number?

I'm going to restate the question so you know for sure what question I'm answering, because I'm not positive I know what question you're trying to ask. Given five distinct objects, how many ways is it possible to select three of them if order matters? There are 5 choices for the first digit/object. There are 4 choices for the second digit/object. There are 3 choices for the third digit/object. So there are 5x4x3 = 60…

### How many combinations can you make with three numbers?

You can make 6 combinations with 3 numbers. They are: 123 213 312 132 231 321 * * * * * NO! Those are permutations! In combitorials, the order does not matter so that the combination 123 is the same as the combination 132 etc. So all of the above comprise just 1 combination. With three numbers you can have 1 combination of three numbers (as discussed above), 3 combinations of 2 numbers (12, 13…

### A student must answers 8 out of 10 questionshow many choices does the student have?

This is a combinations question. The answer is C(10,8), the number of combinations of 10 things taken 8 at a time, which also equals the number of combinations of 10 things taken 2 at a time. You can imagine why these are the same: choosing 8 questions to answer out of ten is the same thing as not choosing 2 questions to answer out of ten. C(10,2) = (10*9)/(2*1) = 45. There are 45 different…

### If using numbers 0 through 9 how many different 3 digit combinations can be made?

There are 10 possible digits that can be used: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. If you can only use each digit once, there are 10 choices for the first digit, 9 remaining choices for the second digit, and 8 remaining choices for the final digit - 10 x 9 x 8 = 720 combinations. If you can use each digit repeatedly, you have 10 choices for each digit - 10…

### How many combinations are possible using the numbers 4 specific numbers?

the question does not make sense, as it stands. if the 4 refers to the idea of providing 4 specific numbers and then combining them in different ways there are lots of combinations such as adding them or multiplying them, etc., but..... if you mean combining the numbers by listing all 4 of them in different orders, that's called permutation, not combination. How many ways? Well, there are 4 ways of choosing which one comes…

### How many different combinations can be made from a combination of 3 letters and 3 nuimbers?

Taking this bit by bit... For each number there are 10 possibilities so three numbers has 10^3 which is 1000 for each letter there are 26 choices, so for three letters you have 26^3 which is 17576 together there are 17576 * 1000 options which makes 17576000 possible combinations of letters and numbers and I suspect that is what you want. However if the order of the combination is important you must take into account…

### How many 3 digit numbers are possible from the digits 0123456789?

Let's solve it a step at a time. For the first digit, how many choices do you have? 9 You can choose 1..9 but not 0, so that's nine choices for the most significant digit. For the second digit, how many choices do you have? 10 It can be 0..9. For the third digit, you also have 10 choices. Choosing one digit doesn't limit your choices for other digits and mirrored numbers (e.g. 123 and…