Question
Asked Nov 30, 2019
30 views

Consider the five letters a,b,c,d,e. In how many distinct ways can three letters be selected and arranged if repetition is not allowed? 

check_circle

Expert Answer

Step 1

Permutation:

         The act of arranging the members of a set into an order or sequence, if it is already in order, we want to rearrange its elements.

The formula for computing permutation is

where
nisthe man ber of elements in aset
ris the umber of arrangedelements to calculate
help_outline

Image Transcriptionclose

where nisthe man ber of elements in aset ris the umber of arrangedelements to calculate

fullscreen
Step 2

Given information

Five letters a, b, c, d and e

This is a perm...

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Probability

Related Probability Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: Conduct the following test at the a 0.01 level of significance by determining (a) the null and alter...

A: The provided information is as follows:

question_answer

Q: Let X be a normal random variable with μ = 15 and σ = 2. Find the value of the given probability. (R...

A: It is given that is normally distributed with mean 15 and standard deviation is 2.

question_answer

Q: The number of chocolate chips in an​ 18-ounce bag of chocolate chip cookies is normally distributed ...

A: Let the random variable Y represent the number of chocolate chips in a randomly selected bag.The dis...

question_answer

Q: Two dice are rolled. Determine the probability of rolling a sum of 6 or doubles.

A: The sample space of the 36 possible outcomes for a pair of fair dice is,

question_answer

Q: 10. Secret Code Word How many 4-letter code words can be made using the letters in the word pencil i...

A: From given information,Let the sample be –Sample = (P, E, N, C, I, L)Four letter word code can be fo...

question_answer

Q: A survey was conducted by the Public Housing Authority in a certain community among 1000 families to...

A: Given data and calculation of probability is shown in the table

question_answer

Q: Phil Dunphy, a real estate agent, is considering whether he should list an unusual $372,875 house fo...

A: Expected value:The expected value of a random variable is the sum of the possible values that the ra...

question_answer

Q: 1. Determine if the following functions are probability density functions on the given domain 1 on (...

A: 1. (a) From the given information, the function is p(x)=1/x2, (0,∞). Condition for probability densi...

question_answer

Q: Mike and Bill play a card game with a standard deck of 52 cards. Mike selects a card from a well-shu...

A: The total number of cards are 52. Mike will gain ‘A’ dollars if the card selected is diamond.Probabi...