An investing group has $50,000 to invest. They put the money in an account that has an annual interest rate of 6%, compounded mo
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Answer:
In total, permutations of three items can be selected from a group of six distinct elements.
In particular, there are ways to order three distinct items.
.
Step-by-step explanation:
The formula gives the number of ways to select and order
items from a group of
distinct elements.
To select and order three items from a group six distinct elements, let and
. Apply the formula:
.
In other words, there are unique ways to select and order three items (select a permutation of three items) from a group of six distinct elements.
Consider: what's the number of ways to order three distinct items? That's the same as asking: how many ways are there to select and order three items from a group of three distinct elements? Let and
. Apply the formula for permutation:
.
To find the permutations, start by selecting one element as the first of the list. A tree diagram might be helpful. Refer to the attachment for an example.
