Answer:
−(d+1)>3
Step 1: Simplify both sides of the inequality.
−d−1>3
Step 2: Add 1 to both sides.
−d−1+1>3+1
−d>4
Step 3: Divide both sides by -1.
> 
d < -4
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.
You would want to divide 216 by 18 and by doing that you would get 12.