Explanation Given: The 6 objects 1, 2, 3, 4, 5 and 6 number of objects to be chosen is 3 without repetition. Formula used: P ( n , r ) = n ! ( n − r ) ! Calculation: The list of ordered arrangements of 6 objects 1, 2, 3, 4, 5 and 6 choosing 3 at a time without repetition. Arrangement starting with the object 1 is { 123 , 124 , 125 , 126 , 132 , 134 , 135 , 136 , 142 , 143 , 145 , 146 , 152 , 153 , 154 , 156 , 162 , 163 , 164 , 165 } . Arrangement starting with the object 2 is { 213 , 214 , 215 , 216 , 231 , 234 , 235 , 236 , 241 , 243 , 245 , 246 , 251 , 253 , 254 , 256 , 261 , 263 , 264 , 265 } . Arrangement starting with the object 3 is { 312 , 314 , 315 , 316 , 321 , 324 , 325 , 326 , 341 , 342 , 345 , 346 , 351 , 352 , 354 , 356 , 361 , 362 , 364 , 365 } . Arrangement starting with the object 4 is { 412 , 413 , 415 , 416 , 421 , 423 , 425 , 426 , 431 , 432 , 435 , 436 , 451 , 452 , 453 , 456 , 461 , 462 , 463 , 465 } . Arrangement starting with the object 5 is { 512 , 513 , 514 , 516 , 521 , 523 , 524 , 526 , 531 , 532 , 534 , 536 , 541 , 542 , 543 , 546 , 561 , 562 , 563 , 564 } Arrangement starting with the object 6 is { 612 , 613 , 614 , 615 , 621 , 623 , 624 , 625 , 631 , 632 , 634 , 635 , 641 , 642 , 643 , 645 , 651 , 652 , 653 , 654

Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)

4th Edition

ISBN: 9780134686974

Author: Michael Sullivan, Michael Sullivan III

Publisher: PEARSON

See similar textbooks

Concept explainers

Addition Rule of Probability

It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.

Expected Value

When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known …

Probability Distributions

Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosi…

Basic Probability

The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the prob…

Videos

Question

Chapter 12.2, Problem 26AYU

To determine

To write:

a. All the ordered arrangements of 6 objects 1, 2, 3, 4, 5 and 6 choosing 3 at a time without repetition.

b. What is $P (6, 3) ?$

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 12.2, Problem 25AYU

Chapter 12.2, Problem 27AYU

Chapter 12 Solutions

Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)

Ch. 12.1 - Prob. 1AYU Ch. 12.1 - Prob. 2AYU Ch. 12.1 - Prob. 3AYU Ch. 12.1 - Prob. 4AYU Ch. 12.1 - Prob. 5AYU Ch. 12.1 - Prob. 6AYU Ch. 12.1 - Prob. 7AYU Ch. 12.1 - Prob. 8AYU Ch. 12.1 - Prob. 9AYU Ch. 12.1 - Prob. 10AYU

Knowledge Booster

$Calculus$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

a. All the ordered arrangements of 6 objects 1, 2, 3, 4, 5 and 6 choosing 3 at a time without repetition. b. What is P ( 6 , 3 ) ?

Solution Summary: The author enumerates the order of 6 objects, including objects 1, 2, 3, 4, 5 and 6 choosing 3 at a time without repetition.

Concept explainers

Videos

To write:

a. All the ordered arrangements of 6 objects 1, 2, 3, 4, 5 and 6 choosing 3 at a time without repetition.

b. What is $P (6, 3) ?$

Want to see the full answer?

Chapter 12 Solutions

a. All the ordered arrangements of 6 objects 1, 2, 3, 4, 5 and 6 choosing 3 at a time without repetition. b. What is P ( 6 , 3 ) ?

Solution Summary: The author enumerates the order of 6 objects, including objects 1, 2, 3, 4, 5 and 6 choosing 3 at a time without repetition.

Concept explainers

Videos

To write: a. All the ordered arrangements of 6 objects 1, 2, 3, 4, 5 and 6 choosing 3 at a time without repetition. b. What is P( 6, 3 )?

Want to see the full answer?

Chapter 12 Solutions

To write:

a. All the ordered arrangements of 6 objects 1, 2, 3, 4, 5 and 6 choosing 3 at a time without repetition.

b. What is $P (6, 3) ?$