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what is the forumula to find the number of tries to complete a task? For example,...

what is the forumula to find the number of tries to complete a task? For example, how many tries will it take to correctly wire 8 pin connector. Please show the equation used.
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Answer #1

Example:-

To correctly wire 8 pin connector-

There are 8 connections are required to complete the work.

First we have to correctly fix one connection from 8 wires.

This takes 8 tries.

Then we need to correctly fix the second connection from remaining 7 wires. This takes 7 tries.

Then next it takes 6 tries.

Then 5, 4, 3, 2 and finally 1.

Total number of tries = 8+7+6+5+4+3+2+1 = 36 tries.

Observe this is sum of 8 natural numbers.

Sum of n natural numbers = n(n+1)/2

If we assume there are n number of connections has to be made.

Total number of tries = n(n+1)/2

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