PreCal 9.1/9.3 Quiz Review

What is the total number of different 13-letter arrangements that can be formed using the letters in the word ENLIGHTENMENT?

*make sure to type your commas!!

(a)  

Decide whether you'd solve using a Permutation, Combination, or simply need a single factorial, then match the cards accordingly.

• Ribbons are being awarded for 1st through 5th place to the top 5 dogs in a dog show.

• Factorial

• The principal would like to assemble a committee of 8 students from the 12-member student council.

• Permutation

• A lock has a code of 3 numbers between 1 and 15. How many codes can be created if no numbers repeat

• Combination

There are 9 different actors auditioning for the roles of Larry, Curly and Moe. How many ways could the roles be cast?

*Check ALL that apply!

• 504

• 84

₇P₃ is equivalent to ​ (a)   /​ (b)   ​

• 7!
• 4!
• 3!
• 11!

Check all options equivalent to ₈C₆

Excluding Q, X, and Z, how many 3-letter crossword puzzle entries can be formed that contain no repeated letters?

Drag your answers into the blanks to explain how this problem can be solved using the Multiplication Principle of Counting

​ ​ (a)   x​ (b)   x​ ​ (c)  

• 23
• 22
• 21
• 26
• 25
• 3
• 2
• 1
• 24

Match the following questions with their solutions

• How many ways can 15 people be lined up for a photograph?

• The Math club (15 members) is electing a President, VP & Treasurer. How many ways can this be done?

• The Ice Cream Parlor has 15 different flavors. How many triple-flavored sundaes can be made?

A baseball team has 15 players, but there are only 9 positions. How many different choices are there for how to put 9 players on the field?

*Remember to type your commas!

(a)  

From a standard deck of cards, how many ways can you pick a heart, a Jack, and then a spade? Provided you put the cards back into the deck.

(a)  

How many odd 2-digit positive integers greater than 30 are there?

• 5

• 35

• 40

• 30