When testing for current in a cable with five c to test two wires at a time. How

Question

When testing for current in a cable with five c to test two wires at a time. How many different tests are required for every possible pairing of two wires? olor-coded wires, the author used a meter With a short time remaining in the day, a FedEx driver has time to make deliveries at 6 locations among the 9 locations remaining. How many different routes are possible? In soccer, a tie at the end of regulation time leads to a shootout by three members from each team. How many ways can 3 players be selected from 11 players available? For 3 selected players, how many ways can they be designated as first, second, and third?

Explanation / Answer

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1.There are 5 color coded wires

Testing 2 at a time, we have 5C2 = 5!/3!2! = 10 tests for every possible pairing

of 2 wires

2. 6 location among 9 are possible. So, different routes possible are

9 choose 6 = 9C6 = 9!/6!3! = 84

3. 3 members can be choosen from 11 in 11C3 ways = 165 ways

The ways can be designated 1st, 2nd and 3rd in 3! ways = 6 ways

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