College Algebra & Trigonometry, 2018a

310 CHAPTER 7. COMBINATORICS
4) A coin is flipped five times and the result each time is recorded. How many
different possible outcomes are there?
5) A coin is flipped and a six-sided die is rolled and the results are recorded. If
this is done three times, how many possible outcomes are there?
6) Two cards are chosen from a deck of 52 cards. If the first card is not replaced
before the second card is chosen, how many ways are there to choose:
a) A spade first and a heart second?
b) Two spades?
7) A company has 3000 employees. They plan to implement an employee ID
numbering system that would consist of a letter followed by two digits. Is it
possible to give each employee a different ID code under this plan?
8) A baseball team has 7 pitchers and 3 catchers. How many different batteries
(pitcher - catcher combinations) are possible?
9) A string of five letters is created using the letters A,B,C, D and E. How many
of these letter strings are possible if:
a) No conditions are imposed
b) Repetition of the letter A is not allowed
c) Each letter string must begin with C
d) B must be the middle letter
e) A, B and C must be the middle letters in any order with no repetition
For Part (e) please list all possibilities.