10 students are competing in a dance competition. How many was can you award first, second, and third place?
1 answer:
Given:
Total number of students = 10
To find:
How many was can you award first, second, and third place?
Solution:
Total number of students is 10. So, the total possible ways for the first award is 10.
We know that one student can hold only one place. So, after giving the first award, the number of remaining students is 9 and the total possible ways for the second award is 9.
Similarly, the total possible ways for the third award is 8.
Now, the total number of ways to award first, second, and third place is:
Therefore, the total number of ways to award first, second, and third place is 720.
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ANSWER
EXPLANATION
Let the number who plays both games be
Then those who play only basketball
and those who play only baseball
We were given that 10 students play neither sports.
We can then write the following equation,
This implies that,
This simplifies to,
This gives us,
Therefore the number of students play both basketball and baseball is 2.
The probability that a student chosen from the class plays both basketball and baseball ball
EXPLANATION
Let the number who plays both games be
Then those who play only basketball
and those who play only baseball
We were given that 10 students play neither sports.
We can then write the following equation,
This implies that,
This simplifies to,
This gives us,
Therefore the number of students play both basketball and baseball is 2.
The probability that a student chosen from the class plays both basketball and baseball ball