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How to Calculate Lottery Number Generator

What is Lottery Number Generator?

A lottery number generator picks random numbers for lottery tickets. The probability of winning a jackpot depends on the total combinations: for 6 numbers from 49 (as in UK Lotto), there are C(49,6) = 13,983,816 combinations — about 1 in 14 million.

Step-by-Step Guide

  1. 1Pick k numbers from n total, without replacement, order does not matter
  2. 2Total combinations = C(n,k) = n! / (k!(n-k)!)
  3. 3Each combination is equally likely — random number generators are fair
  4. 4No number combination is more or less likely than any other

Worked Examples

Input
6/49 lottery
Result
Generates 6 random unique numbers from 1–49

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