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The first answer of mathematical analysis
Because 150 people like swimming or jogging or both.

150-85=65 (people who don't like swimming must only like jogging)

(Note: 85 people like swimming, 60 of them swim and jog at the same time, which means only 25 people only like swimming.

150-25 people who like swimming -60 people who swim and jog = 65 people who like jogging; The calculation will have the same effect)

So 60 people who like jogging swim and jog at the same time +65= 125 people who only like jogging.

the second question

Draw a line first, take six points on the line, including two breakpoints.

Every two points represent a position, and the remaining five people can sit at will (that is, the method of arranging and combining queues in mathematics)

Five people in a row Five! =5*4*3*2* 1= 120