This is the 5801st most frequent Russian word.
путей
"Путей" is the genitive plural form of "путь," meaning "ways" or "paths."
In this context, 'путей' is the plural genitive form of 'путь', meaning 'path'. It refers to directions or methods for achieving success.
У нас есть несколько путей к успеху.
We have several paths to success.
Here, 'путей' conveys railway tracks, indicating the infrastructure element. It again is the plural genitive form of 'путь'.
Инженеры разработали новую систему путей для железных дорог.
Engineers have developed a new system of tracks for railroads.
In this sentence, 'путей' refers to approaches or methods to solve problems, using its metaphorical meaning representing possibilities or strategies.