Question: 100 coins are placed in a line on the table. 100 people are in front of the table. Each person is asked to turm

100 coins are placed in a line on the table. 100 people

100 coins are placed in a line on the table. 100 people are in front of the table. Each person is asked to turm over or flip every i th coin start from i. For e.g., P1 flips every coin. P2 flips every alternate coin starting from 2. P3 flips every third coin starting from 3. (5) 0 How many times is the 100th coin flipped/turned over? (i) How many coins have been flipped/turned over exactly twice? (i1i) How many coins are flipped/turned over odd number of times? (iv) Let f(i) denote that number of times coin i has been flipped. What is the maximum value among all f(i) and what is the minimum value among all f(). You need to justify all your answers.

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