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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 ( subsets ), including the empty set :
The combinations are represented as strictly decreasing sequences c k > ... > c 2 > c 1 ≥ 0 where each c i corresponds to the index of a chosen element in a given k-combination. Distinct numbers correspond to distinct k-combinations, and produce them in lexicographic order. The numbers less than () correspond to all k-combinations of {0, 1 ...
Formats for license plate numbers are consistent within the state. For example, Delaware is able to use six-digit all-numeric serials because of its low population. Several states, particularly those with higher populations, use seven-character formats of three letters and four digits, including 1ABC234 in California, 1234ABC in Kansas and ABC-1234 (with or without a space or dash) in Georgia ...
The list of all single-letter-single-digit combinations contains 520 ... A0 A1 A2 A3 A4 A5 A6 A7 A8 A9 A-0 A-1 A-2 A-3 A-4 A-5 A-6 A-7 A-8 A-9 B0 B1 B2 B3 B4 B5 B6 B7 ...
The list of all single-letter-double-digit combinations contains 7,800 elements of the form [[{{letter}}{{digit}}{{digit}}]] and [[{{letter}}-{{digit}}{{digit}}]] and ...
Each of the digits 2 to 9, and sometimes 0, corresponded to a group of typically three letters. The leading two or three letters of a telephone number indicated the exchange name, for example, EDgewood and IVanhoe, and were followed by 5 or 4 digits. The limitations that these systems presented in terms of usable names that were easy to ...
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All integers are rational, but there are rational numbers that are not integers, such as −2/9. Real numbers (): Numbers that correspond to points along a line. They can be positive, negative, or zero. All rational numbers are real, but the converse is not true. Irrational numbers (): Real numbers that are not rational. Imaginary numbers ...