There are 12 members on the board of directors for the Newport General Hospital. If they must elect a chairperson, first vice ch
1 answer:
Answer:
11880 different slates of candidates are possible.
Step-by-step explanation:
The order is important in this problem.
That is, John, Elisa, Laura and Rose means that John is the chairperson, Elisa the first vice chairperson, Laura the second vice chairperson and Rose the secretary. If we exchange John and Elisa, for example, it means that their roles also have changed.
So we use the permutations formula to solve this problem.
The number of possible permutations of x elements from a set of n elements is given by the following formula:
How many different slates of candidates are possible?
Four roles in a set of 12 members. So
11880 different slates of candidates are possible.
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Answer: The required number of ways is 25401600.
Step-by-step explanation: Given that seven men and seven women line up at a checkout counter in a store.
We are to find the number of ways in which they can line up, if the first person in line is a man , and the people in line alternate man, woman, man, woman and so on.
Since the first person is a man, so
for first position, we have 7 options.
There are alternate man and women in the line, so the second person must be a women.
That is, we have 7 options for the second position.
Similarly, for 3rd and 4th positions, we have 6 options for each, and so on.
Therefore, the number of ways in which the 14 persons can line up is
Thus, the required number of ways is 25401600.
Answer: Second Option
Step-by-step explanation:
We are evaluating aarco lengths
The formula for the arc length is:
We want to know what is the arc length for a radius of r = 8
Then we substitute r = 8 in the equation and solve
The correct answer is the second option