1. there are 10 students and they all have to shake each others hands and the total hand shakes is 45 because the number 1 shakes 9 hands and the next person shakes 8 and number 3 shakes 7 number 4 shakes 6 number 5 shakes 5 number 6 shakes 4 number 7 shakes 3 number 8 shakes 2 number 9 shakes 1 the last one dose not shake anyone because he had already been shaken by everyone else. now to get the answer you must add all the underlined numbers and you will get the answer
2.for the second one there is a new person and he must shake 10 hans so that means you just have to add 10 to 45 and you get the answer its 55.
3.there is 20 people and they must all shake hands and the total is 190 hands that are shaken.
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