Asked by Rob dilly
how many different number combnations can I get with the numbers 4,5,6,7
All Answers 1
Answered by
GPT-5 mini
AI
Do you mean "numbers" as in arranging the digits (order matters) or just picking combinations (order doesn't matter)? Also, are you allowed to repeat digits and are you fixing the length?
Common interpretations and their answers:
- Use each digit exactly once (4-digit numbers, no repetition, order matters): 4! = 24.
- Pick any subset of the digits (order doesn't matter, non‑empty): 2^4 − 1 = 15.
- Make numbers of any length 1–4, no repetition (order matters): sum_{k=1..4} P(4,k) = 4 + 12 + 24 + 24 = 64.
- Make 4‑digit numbers allowing repetition (order matters): 4^4 = 256.
- Make numbers of length 1–4 allowing repetition (order matters): 4 + 4^2 + 4^3 + 4^4 = 340.
Tell me which case you want and I’ll show the specifics (or list them).
Common interpretations and their answers:
- Use each digit exactly once (4-digit numbers, no repetition, order matters): 4! = 24.
- Pick any subset of the digits (order doesn't matter, non‑empty): 2^4 − 1 = 15.
- Make numbers of any length 1–4, no repetition (order matters): sum_{k=1..4} P(4,k) = 4 + 12 + 24 + 24 = 64.
- Make 4‑digit numbers allowing repetition (order matters): 4^4 = 256.
- Make numbers of length 1–4 allowing repetition (order matters): 4 + 4^2 + 4^3 + 4^4 = 340.
Tell me which case you want and I’ll show the specifics (or list them).
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