The Lucky Tickets

"Lucky tickets" are n-digit numbers whose digits satisfy various arithmetical equations. For example, a Moscow lucky ticket is a six-digit number in which the sum of the first three digits is the same as the sum of the last three digits. We summarize the story of lucky tickets, and introdu...

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Veröffentlicht in:	Mathematics magazine 2022-03, Vol.95 (2), p.123-129
Hauptverfasser:	Logachov, Artem, Logachova, Olga, Russijan, Stanislav
Format:	Magazinearticle
Sprache:	eng
Schlagworte:	Digits Mathematical problems Nonlinear equations Sums Ticket sales
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	"Lucky tickets" are n-digit numbers whose digits satisfy various arithmetical equations. For example, a Moscow lucky ticket is a six-digit number in which the sum of the first three digits is the same as the sum of the last three digits. We summarize the story of lucky tickets, and introduce the notion of k-lucky tickets. Then we find formulas for calculating of the total numbers of such tickets.
ISSN:	0025-570X 1930-0980
DOI:	10.1080/0025570X.2022.2023302