The number of combinations with 4 numbers depends on two key things: whether the order matters (permutations vs combinations) and whether digits can repeat.

Here’s a quick breakdown of the most common cases:

1. 4‑digit code (0000 to 9999)

If you mean a 4‑digit code where each digit can be 0–9 and digits can repeat (like a PIN), then:

  • Each digit has 10 choices (0 through 9).
  • Total combinations = 10×10×10×10=104=10,00010\times 10\times 10\times 10=10^4=10{,}00010×10×10×10=104=10,000.

So there are 10,000 possible 4‑digit codes (from 0000 to 9999).

2. 4 different digits, order matters (permutations)

If you have 4 distinct numbers (say, 1, 2, 3, 4) and you want all possible arrangements (order matters), that’s a permutation:

  • Number of arrangements = 4!=4×3×2×1=244!=4\times 3\times 2\times 1=244!=4×3×2×1=24.

So there are 24 different 4‑number sequences using those 4 digits once each.

3. 4 different digits, order does not matter (combinations)

If you just want to choose 4 numbers from a larger set and order doesn’t matter (e.g., picking 4 numbers from 1 to 10), use the combination formula:

C(n,4)=n!4!(n−4)!C(n,4)=\frac{n!}{4!(n-4)!}C(n,4)=4!(n−4)!n!​

For example:

  • From 10 digits (0–9), choosing any 4: C(10,4)=10×9×8×74×3×2×1=210C(10,4)=\frac{10\times 9\times 8\times 7}{4\times 3\times 2\times 1}=210C(10,4)=4×3×2×110×9×8×7​=210.
  • From 41 numbers, choosing any 4: C(41,4)=41×40×39×3824=101,270C(41,4)=\frac{41\times 40\times 39\times 38}{24}=101{,}270C(41,4)=2441×40×39×38​=101,270.

So the number of combinations depends on how many total numbers you’re choosing from.

4. With repeated digits allowed (but not a full 0–9 code)

If you can repeat digits but only from a smaller set (e.g., digits 1–4, each used any number of times), then:

  • Each of the 4 positions has 4 choices → 44=2564^4=25644=256 possible sequences.

So there are 256 combinations if digits can repeat and you’re using 4 possible digits.

Quick reference table

Scenario| Formula| Example result
---|---|---
4‑digit PIN (0–9, repeats allowed)| 10410^4104| 10,000 combinations
4 distinct digits, order matters| 4!=244!=244!=24| 24 permutations
4 distinct digits, order doesn’t matter| C(n,4)C(n,4)C(n,4)| e.g., 210 from 10 digits
4 positions, each from 4 digits (repeats allowed)| 444^444| 256 combinations

If you tell me exactly what kind of “4 numbers” you mean (e.g., digits 0–9, a specific set like 1,2,3,4, or a lottery-style pick), the exact number can be pinned down.

Information gathered from public forums or data available on the internet and portrayed here.