WGU C960 Discrete Math 2 Question with
100% Verified Answers
Filling positions left to right?
(keywords: password, code, callsign, string)
PRODUCT RULE
Multiply choices for each position
Repetition allowed unless stated otherwise
if the number of choices for each position is the sameyou can raise it to a power instead.
Choosing a group where order does NOT matter
(keywords: choose, select, committee, hand)
COMBINATION
(n choose k)
Arranging people/items and order DOES NOT matter
(keywords: line up, arrange, seat, rank)
Identical objects + categories
MULTISET counting
The problem says "either ... or ..."?
, SUM RULE
Solve each case
Add results
symmetry / overcounting?
(rotations, identical letters, k-to-1)
DIVIDE
Your count / k. Your count is the number you get when you count the normal way (also is the
size of the domian. K is how many times EACH distinct outcome was counted in "your
count" (so no duplicate values). Dividing these two numbers gives you the actual number
Does it say "at least"? (for counting)
Use complement
total-bad
TOTAL = number of outcomes with NO restrictions at all.
What is BAD?
BAD = number of outcomes that VIOLATE the condition in the question.
When to use the Binomial Theorem?
A binomial raised to a power + asking for a specific term or coefficient
These questions ask what terms appear when I expand (a+b)^n, and what are their
coefficients?
, when you see "At least ___ of each" in a counting problem this means what?
100% Verified Answers
Filling positions left to right?
(keywords: password, code, callsign, string)
PRODUCT RULE
Multiply choices for each position
Repetition allowed unless stated otherwise
if the number of choices for each position is the sameyou can raise it to a power instead.
Choosing a group where order does NOT matter
(keywords: choose, select, committee, hand)
COMBINATION
(n choose k)
Arranging people/items and order DOES NOT matter
(keywords: line up, arrange, seat, rank)
Identical objects + categories
MULTISET counting
The problem says "either ... or ..."?
, SUM RULE
Solve each case
Add results
symmetry / overcounting?
(rotations, identical letters, k-to-1)
DIVIDE
Your count / k. Your count is the number you get when you count the normal way (also is the
size of the domian. K is how many times EACH distinct outcome was counted in "your
count" (so no duplicate values). Dividing these two numbers gives you the actual number
Does it say "at least"? (for counting)
Use complement
total-bad
TOTAL = number of outcomes with NO restrictions at all.
What is BAD?
BAD = number of outcomes that VIOLATE the condition in the question.
When to use the Binomial Theorem?
A binomial raised to a power + asking for a specific term or coefficient
These questions ask what terms appear when I expand (a+b)^n, and what are their
coefficients?
, when you see "At least ___ of each" in a counting problem this means what?
