QuestionA doctor visits her patients during morning rounds. In how many ways can the doctor visit 6 patients during the morning rounds?
Studdy Solution
STEP 1
1. The doctor has 6 patients to visit.
2. Each patient is distinct.
3. The order in which the doctor visits the patients matters.
STEP 2
1. Understand the concept of permutations.
2. Calculate the number of permutations for 6 distinct patients.
STEP 3
Understand that a permutation of a set is an arrangement of its members into a sequence or linear order. Since each patient is distinct and the order of visits matters, we need to find the number of permutations of 6 patients.
STEP 4
Calculate the number of permutations of 6 distinct patients. The number of permutations of a set of distinct elements is given by (n factorial), which is the product of all positive integers up to .
STEP 5
Evaluate the factorial expression.
STEP 6
Conclude that the number of ways the doctor can visit 6 patients during the morning rounds is 720.
Solution:
There are 720 ways for the doctor to visit her 6 patients during the morning rounds.
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