Algebra 2, Permutation and combinations

User Generated

algrnpue

Mathematics

Description

Correctly and accurately answer the following questions. DOUBLE CHECK all answers to make sure they are correct.

Which of the following is equivalent to the expression shown below?


6 • 5 • 4 • 3 • 2 • 1

10 • 9 • 8 • 7 • 6 • 5 • 4 • 3 • 2 • 1

16 • 15 • 14 • 13 • 12 • 11

(16 - 10)!

============================

Which of the following expressions is equivalent to the expression shown below?


5

4 • 3 • 2 • 1

5 • 4 • 3 • 2 • 1

(5 - 4)!

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Evaluate the factorial expression.


1

42

1/2

2520

------------------------

Evaluate the factorial expression.


1

42

1/2

2520

===============

Which of the following situations would be a combination?


Find all the ways to arrange the letters in the world ALPHABET.

A baseball team has 14 players. In one of the innings, 10 players got the chance to bat before they went to the next inning. Find the number of ways the innings could have been arranged.

300 runners are running in a marathon race. The first place winner gets $500,000, the second place gets $250,000, and the third gets $125,000. Find the number of ways the racers could win first, second, and third.

Its mismatching socks day at school. You have five pairs of different socks. Find how many different arrangements of socks you could wear.

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A rugby team has 14 members. How many different ways can the team choose a captain and a co-captain, assuming that no player can hold both positions.


43,589,145,600

182

28

91

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A disc jockey at a radio show has a choice between 15 records to play. He can play 6 records in his segment. How many ways can the records be arranged?


5,005

720

1,816,214,400

3,603,600

======================

How many ways can the letters in the word DALLAS be arranged?


720

360

180

30

---------------------------------

Tiffany is buying a license plate for her car. The license plate will have 2 digits and 3 letters. She wants it to include the numbers 4 and 8 and the letters S, T, and S. How many different possible combinations of these letters and numbers could be on her license plate?


5040

1260

120

60

=========================

Out of 15 books you have, you plan to take 6 on vacation with you. How many different combinations of books could you take?


1,816,214,400

5,005

3,603,600

720

==========================

Five cards are drawn from a standard deck of cards. How many hands consist of 3 kings and 2 queens?


22,308

336

24

6

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