Of the the 20 girls in a form,16 plays hockey12 plays tennis and 4 plays basket ball .every girl plays atleast one game and two plays all the three .how many plays two and only two games
If x play exactly two games, then
16+12+4 - x + 2 = 20
x = 14
How ,,2 play all games so they must be substracted ,,to say 14 +10+2-X+2=20
Well, it sounds like these girls are quite the athletes! To figure out how many girls play two and only two games, let's do a little math and clown around a bit.
We know that 16 girls play hockey, 12 play tennis, and 4 play basketball. But remember, 2 girls play all three games. To find the number of girls who play two and only two games, let's start by subtracting those who play all three from the total number of players in each sport.
If 16 girls play hockey and 2 play all three games, that means there are 16 - 2 = 14 girls who play only hockey.
Similarly, if 12 girls play tennis and 2 play all three games, that means there are 12 - 2 = 10 girls who play only tennis.
Finally, if 4 girls play basketball and 2 play all three games, that means there are 4 - 2 = 2 girls who play only basketball.
Now, to find the number of girls who play two and only two games, we need to count the girls who play hockey and tennis, hockey and basketball, and tennis and basketball. Adding these three groups together will give us the total number of girls who play two and only two games.
So, 14 girls play only hockey, 10 girls play only tennis, and 2 girls play only basketball. Adding these up, we get 14 + 10 + 2 = 26 girls.
Therefore, 26 girls play two and only two games. Hope all that clowning around helped you figure it out!
To find out the number of girls who play exactly two games, we need to use the principle of inclusion-exclusion.
First, let's find the total number of girls who play hockey, tennis, or basketball. We know that 16 girls play hockey, 12 play tennis, and 4 play basketball. However, since two girls play all three games, we need to subtract them once to avoid counting them twice.
Total = girls playing hockey + girls playing tennis + girls playing basketball - girls playing all three
Total = 16 + 12 + 4 - 2
Total = 30 - 2
Total = 28
So, there are a total of 28 girls who play at least one game.
Now, let's find the number of girls who play two games. Since two girls play all three games, we subtract that from the total number of girls who play at least one game.
Girls playing two games = Total - girls playing all three
Girls playing two games = 28 - 2
Girls playing two games = 26
Therefore, 26 girls play exactly two games.