It takes 5 minutes to pass a rumor from one form one person to another person. The Tree of Rumour continues. How many persons would know the Rumour after 20 minutes?
- 16
- 27
- 81
- 90
Explanation
In the Tree of Rumour problem, one person passes the rumour to 2 other people every 5 minutes.
Therefore, the total number of people triples every 5 minutes.
0 minutes → 1 person
5 minutes → 3 persons
10 minutes → 9 persons
15 minutes → 27 persons
20 minutes → 81 persons
Using the formula:
3^20/5 =3^4 =81
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