Book has pages, right?

Logic Level 5

A book starts with the first page has page numbers 1 and 2, the second page has page numbers 3 and 4, so on and so forth. It has more than 100 pages.

Several (not necessarily consecutive) pages were torn out, but it doesn't include the first page. It is given that the sum of the page numbers on these torn pages is 101.

How many ways are there for the pages to be torn out?

Note: Its Original

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