19.-/4 pointsAufExc4 1.3.011.MI.SA is question has several parts that must be co

Question

19.-/4 pointsAufExc4 1.3.011.MI.SA is question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Use Polya's four-step problem-solving strategy and the problem-solving procedures presented in this lesson to solve the following exercise. If eleven people greet each other at a meeting by shaking hands with one another, how many handshakes take place?

Explanation / Answer

Step 1: understand the problem

Since we are looking for the number of handshake by people so

Take n=number of people.

Step 2: Devise a plan (translate)

The formula for finding the number of handshake by "n" numbers of people is given as

Number of handshake= n(n-1)/2

Step 3: carry out the plan (solve)

Since we are looking for handshake by 11 people so put n=11 in above formula, we get

Number of handshake by 11 people= 11(11-1)/2

=11(10)/2

=55.

Step 4: Look back ( check and interpret)

If we physically line up 11 people then we can notice that 11th person will handshake with 10 other person.

10th person will handshake with 9 other persons.

9th person will handshake with 8 other people and so on

If we a count total number of handshake then we need to add up all these handshake i.e.

10+9+8+7+6+5+4+3+2+1= 55 handshake. So this does check.

Final answer: The total number of handshake by 11 people is equal to 55 handshake.

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