In other words, how many 4 digit combination locks are there using the digits 0-9 on each wheel. There are 10×10×10×10 = 10⁴ = 10,000 such combinations.
Without repeats, 24. With repeats, 256.
If repeats are allowed than an infinite number of combinations is possible.
Irrational numbers can not be repeating decimals. Any number that is a repeating decimal is rational.
Assuming you are using combinations in the colloquial way (which is the mathematical "permutations" where order of selection does matter) to create a 3 digit number that does not start with 0, ie creating a number that is between 100 and 999 inclusive then: If repeats are not allowed there are 3 × 3 × 2 = 18 possible numbers If repeats are allowed, then there are 3 × 4 × 4 = 48 possible numbers. If you are using combinations in the mathematical sense where order of selection does not matter and are creating groups of 3 digits, then: If repeats are not allowed there are 4 possible groups If repeats are allowed there are 20 possible groups.
you could make a probability tree if you could be bothered
Without repeats there are 4 × 3 = 12 possible 2 digit numbers. With repeats there are 4 × 4 = 16 possible 2 digit numbers.
The number of combinations is 50C6 = 50*49*48*47*46*45/(6*5*4*3*2*1) = 15,890,700
there are 10 numbers that you can choose from 0-9 you are choosing 8 at a time, meaning no repeats so the answer is "10 choose 8" or 10!/(8!*(8-2)!)
Assuming leading zeros are not permitted, then: If repeats are not allowed there are 30 possible numbers. If repeats are allowed there are 60 possible numbers.
We are not told anything about repeats so I will assume you can repeat a digit. For example, you can have 111111 The first digits has 50 choices so does the second and the third..etc so we have 50^6 combinations.
Allowing repeats, but not leading 0s, the answer is 9,000,000,000
If repeats are permitted: 2 x 5 x 5 = 50 different odd numbers If repeats are not permitted: 2 x 4 x 3 = 24 different odd numbers
If repeats are permitted: (36 x 36) = 1,296If repeats are not permitted: (36 x 35) = 1,260If repeats are not permitted and the sequence doesn't matter: (36 x 35) / 2 = 630
Well if repeats are allowed, then unlimited. If you can repeat the numbers then the list would go on forever.
They form a proper subset of rational numbers.
from 1-9 have 9 numbers so that we have 9*9*9*9*9=59049 Consider the case of 5-digit number combinations, where each is some digit from 1 through 9. There are 9 different digits you can pick for the first number. Assuming you can have repeats, there are 9 you can pick for the second, 9 you can pick for the third, and 9 you can pick for the fourth and 9 you can pick for the fifth.
With repeats: 4×4 = 16; Without repeats: 4×3 = 12.
If the 1, 2, 3, 4 and 5 each appear in the numbers (no repeats, no eliminations-- so numbers like 11133 are not valid) then there are 120 combinations. If you can use any of the 5 any number of times up to a max of 5 times, (any possible way of making a 5 digit number using only 1, 2, 3, 4 and 5, so that 33455 for example is valid) then the number of combinations is 3125. The 3125 combinations include the 120 combinations above. This is a permutation of 5 objects, that can be thought of as an arrangement or a rearrangement of the five numbers. The number of permutations of this 5 numbers is equal to 5!. 5! = 5 x 4 x 3 x 2 x 1 = 120 ways. Or you can use the graphing calculator to compute 5!, such as: Press 5, MATH, with the right arrow go to PRB, press 4 (for !), ENTER.
Numbers that never repeat or terminate are called irrational numbers. Pi is one example.
Any number that terminates and repeats. 0.44444 is a rational number, fractions are rational and whole numbers are too.
You write a bar above one or more numbers (you have to write it after one or more numbers or the decimal).It repeats.
Assuming there is no repetition, you want the number of groups of 4 numbers, and the order doesn't matter: this is calculated as 33 over 4; which is the same as (33 x 32 x 31 x 30) / (1 x 2 x 3 x 4)
Without repeats, 4*3*2*1 = 24 If repeats are allowed, then 4*4*4*4 = 256