in a high school there are 27 hockey players and 15 soccer players. if 8 persons played both sports, how many different people played in these sports.
Draw a Venn diagram
It overlaps 8 (Intersection of hockey and soccer sets)
27 - 8 =19 play only hockey
15 - 8 = 7 play only soccer
8 play both
so there are 19+7+8 players total
thanks a lot, so is the answer those numbers added up?
find the 12th term of the harmonic secquence 1/2, 1/6,1/10...
3
8 × 5
4
To find the number of different people who played in these sports, we need to calculate the sum of the unique hockey players and unique soccer players.
First, let's calculate the number of unique hockey players. We have 27 hockey players in total, but 8 persons played both sports, so we need to subtract those who played both.
Unique hockey players = Total hockey players - Players who played both sports
= 27 - 8
= 19
Next, let's calculate the number of unique soccer players. We have 15 soccer players in total, but again, we need to subtract those who played both sports.
Unique soccer players = Total soccer players - Players who played both sports
= 15 - 8
= 7
Finally, to find the total number of different people who played in these sports, we sum up the unique hockey players and unique soccer players.
Total different people = Unique hockey players + Unique soccer players
= 19 + 7
= 26
Therefore, a total of 26 different people played in these sports.