Solution of problem N4970 probability theory

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4970. The box contains 22 parts, including 17 standard parts. The buyer is sent 2 parts. Find the probability that:
1) all non-standard parts were left in the box;
2) among the sent parts, one part is standard and the other is non-standard;
3) at least one of the two sent parts will be standard.
Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)