# Precalculus

1. permutation or combination: how many schedules are possible if you need to choose 5 events out of 20 for a vacation?

Is it permutation?? Answer is 1860480?

2. a. How many area codes are possible ( the 3 digit number can't start with a 0)?
504?
b. How many area codes start and end with an even number?
84?
c. How many area codes have 5 as the middle number?
56?

3. In the word "TIGARD", how many 3 letter words ( repeats not allowed)
b. are all consonants? 24?
c. are all vowels? 0?
If repeats are allowed, how many consonant words are there for the previous question?
64?

1. 👍 0
2. 👎 0
3. 👁 162
1. 1. NO
The order does not matter, Disney first or white mountains first
so
COMBINATION C(20,5)

1. 👍 0
2. 👎 0
posted by Damon
2. c(20,5) = 20!/(5!*15!)

= 20*19*18*17*16 /(5*4*3*2)

= 15504

1. 👍 0
2. 👎 0
posted by Damon
3. 2a 9*10*10 = 900

2b 4 * 5 * 5

2c 9 * 1 * 10

1. 👍 0
2. 👎 0
posted by Damon
4. 6 letters
c(5,3) = 10
20 total

others similar

1. 👍 0
2. 👎 0
posted by Damon
5. #3
Those are permutations since the order matters

2*5*4 = 40 , you were right

b) all consonants, means we only pick from 4
4*3*2 = 24 , you were right

c) all vowels, you are right with 0
since we only have 2 vowels and we need 3

d) all consonants , repetition allowed:
4*4*4 = 64 , again you were right.

1. 👍 0
2. 👎 0
posted by Reiny

## Similar Questions

1. ### Algebra

2. Which is not a combination? -choosing 3 toppings for your pizza -lining 3 students up in a row -choosing 2 desserts from a tray of 10 - Choosing 5 students to represent a class of 30 3. How many ways can you choose 3 dishes

asked by Overlord on April 4, 2017
2. ### math help me

Solve: 6C3 (1 point) 120 720 20 240 2. Which is not a combination? (1 point) choosing 3 toppings for your pizza lining 3 students up in a row choosing 2 desserts from a tray of 10 choosing 5 students to represent a class of 30 3.

3. ### Algebra 1

Can you please check my work and help me with the parts that I don't understand? For each event, choose the most appropriate term and solve the problem. 1. In a sweepstakes with nine hundred entries, the first winner selected

asked by Caroline on April 27, 2014
4. ### Math

Five cards are dealt from a deck of 24 cards to form a euchre hand. Is this a combination or permutation? 4 actors are chosen To play the Beatles in a film. Is this combination or permutation?

asked by Maria on May 17, 2015
5. ### Mathematics

Determining the number of seating arrangements with 10 people in 7 chairs required use of ? Combination Permutation** Probability Substitution Determining the number of 3 person committees formed from a club with 12 members

asked by Maria on May 10, 2019
1. ### math

Decide whether you would use a permutation, a combination, or neither. Next, write the solution using permutation notation or combination notation, if possible, and, finally, answer the question. A club with 34 members is to

asked by leelee kay on June 3, 2014
2. ### math

Create two problems for your fellow students to solve. Make one of the questions a permutation and the other one a combination. The permutation I gave this example. In how many ways can we arrange 8 movies on a book self? The

asked by Linda on March 22, 2010
3. ### Algebra

Decide whether you would use a permutation, a combination, or neither. Next, write the solution using permutation notation or combination notation, if possible, and, finally, answer the question. A club with 31 members is to

asked by Mary Ann on May 22, 2014
4. ### Math 156

I already did the first and third question I just need some one to make it clear to me what he is asking for question 2. Hint anyone please thanks. What is the difference between a combination and a permutation? What clues are

asked by Emory on July 27, 2009
5. ### Algebra 1

Will you please check my work? :) Choose ALL (if any) applicable terms for the events described, then calculate the probability of the events. Jason has a cube with colored sides: red, orange, yellow, green, blue and purple. 1.

asked by Caroline on April 27, 2014

More Similar Questions