10 persons are sitting around a circle. In how many ways can two persons out of them be selected
so that they are not adjacent to each other?
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Answer:
35 ways
Step-by-step explanation:
totally 10 people are sitting and 1 person has 2 people adjacent to him.
1st person - 7 ways
2nd person - 7 ways
3rd person - 6 ways
4th person - 5 ways
5th person - 4 ways
6th person - 3 ways
7th person - 2 ways
8th person - 1 way
9th and 10 th - 0 ways
total = 14 + 6 + 5+ 4 + 3+2+1
= 35 ways
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