PRECALCULUS HONORS / JONES
UNIT 4 – QUIZ 1 VERSION P with Answers
CALCULATOR REQUIRED
Find the coefficient for the indicated term using the binomial expansion theorem:
1. 𝑥 ! 𝑡𝑒𝑟𝑚, 𝑥 − 3 !! 11
= 330, the 𝑥 ! term also has a −3 ! which becomes part of the
4
coefficient so you multiply 330*81=26730.
2.
𝑥 ! 𝑦 ! 𝑡𝑒𝑟𝑚, 𝑥 + 𝑦 !"
13
= 1287
8
Expand the following using the binomial expansion theorem.
3.
3𝑥 + 2 !
729𝑥 ! + 486𝑥 ! + 324𝑥 ! + 216𝑥 ! + 144𝑥 ! + 96𝑥 + 64
Answer each question showing all work including what you entered into the calculator.
4.
5.
A 3-woman committee is to be elected from a 25-member sorority.
How many different committees can be elected?
25
= 2300 This is a combination since there is no rank.
3
How many distinguishable 11-letter words(not necessarily in the
dictionary) can be formed using the letters in CHATTANOOGA?
Distinguishable arrangements =
6.
!!!
!!!!!!
= 1663200 you have to
divide out the repeats.
What are the chances I will spell CHATTANOOGA if I randomly
drew the letters one by one from a container?
The easiest way to solve this is by putting 1 over the answer from
the previous question, leaving you with
!
!""#$%%
.