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  2. Combinatorial number system - Wikipedia

    en.wikipedia.org/wiki/Combinatorial_number_system

    The number associated in the combinatorial number system of degree k to a k-combination C is the number of k-combinations strictly less than C in the given ordering. This number can be computed from C = {c k, ..., c 2, c 1} with c k > ... > c 2 > c 1 as follows.

  3. Lottery mathematics - Wikipedia

    en.wikipedia.org/wiki/Lottery_mathematics

    That is to buy at least one lottery ticket for every possible number combination. For example, one has to buy 13,983,816 different tickets to ensure to win the jackpot in a 6/49 game. Lottery organizations have laws, rules and safeguards in place to prevent gamblers from executing such an operation.

  4. Lottery wheeling - Wikipedia

    en.wikipedia.org/wiki/Lottery_wheeling

    The following is an example of an abbreviated wheeling system for a pick-6 lottery with 10 numbers, 4 if 4 guarantee, and the minimum possible number of combinations for that guarantee (20). A template for an abbreviated wheeling system is given as 20 combinations on the numbers from 1 to 10.

  5. Two-out-of-five code - Wikipedia

    en.wikipedia.org/wiki/Two-out-of-five_code

    2 of 5 barcode (non-interleaved) POSTNET barcode. A two-out-of-five code is a constant-weight code that provides exactly ten possible combinations of two bits, and is thus used for representing the decimal digits using five bits. [1] Each bit is assigned a weight, such that the set bits sum to the desired value, with an exception for zero.

  6. de Bruijn sequence - Wikipedia

    en.wikipedia.org/wiki/De_Bruijn_sequence

    For example, a digital door lock with a 4-digit code (each digit having 10 possibilities, from 0 to 9) would have B (10, 4) solutions, with length 10 000. Therefore, only at most 10 000 + 3 = 10 003 (as the solutions are cyclic) presses are needed to open the lock, whereas trying all codes separately would require 4 × 10 000 = 40 000 presses.

  7. Combination - Wikipedia

    en.wikipedia.org/wiki/Combination

    These combinations (subsets) are enumerated by the 1 digits of the set of base 2 numbers counting from 0 to 2 n − 1, where each digit position is an item from the set of n. Given 3 cards numbered 1 to 3, there are 8 distinct combinations , including the empty set:

  8. Wikipedia:List of all single-letter-single-digit combinations

    en.wikipedia.org/wiki/Wikipedia:List_of_all...

    Download QR code; Print/export Download as PDF; ... The list of all single-letter-single-digit combinations contains 520 elements of the form [[{{letter ...

  9. 4B5B - Wikipedia

    en.wikipedia.org/wiki/4B5B

    For example, a run of 4 bits such as 0000 2 using NRZI encoding contains no transitions and that may cause clocking problems for the receiver. 4B5B solves this problem by assigning the 4-bit block a 5-bit code, in this case, 11110 2. There are eight 5-bit codes that have 3 consecutive 0s: 00000, 00001, 00010, 01000, 10000, 00011, 10001, 11000.