💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

Evaluate each expression.$$\begin{array}{llll}{a .11 !} & {e ._{6} P_{4}} & {i ._{9} P_{2}} \\ {b .9 !} & {f ._ {12} P_{8}} & {j ._{11} P_{3}} \\ {c .}{0 !} & {g ._{7} P_{7}} \\ {d .} {1 !} & {h ., 70}\end{array}$$

a. 39,916,800 c. 1 e. 360 g. 5040 i. 72b. 362,880 d. 1 f. 19,958,400 h. 1 j. 990

Intro Stats / AP Statistics

Chapter 4

Probability and Counting Rules

Section 4

Counting Rules

Sampling and Data

Probability Topics

Temple University

Cairn University

Idaho State University

Boston College

Lectures

0:00

08:04

Evaluate each expression.<…

00:45

01:20

Evaluate each of the follo…

01:18

09:23

00:43

Evaluate the expression $\…

01:26

Evaluate each expression. …

00:38

00:21

04:22

02:19

00:36

00:37

00:35

00:41

08:08

00:39

04:47

In Problems 9 and 10 , eva…

here. We have to find out. Levin Factorial. Oh, what is the formally off and factorial, do you know? Okay, it's in factorial equal toe and in tow. In minus one in tow and minus two in tow. N minus three are and so on till one. Okay, Hill. And he's living so in factorial equal toe Levin factorial equal toe. And he's living and minus one is Stan on and minus two is nine on so on and minus three is eight and minus full is seven, six fly, fooled, See do. And if you multiply all these numbers, we will get 399 168 zero CD. So Levin factory it is 39916800 Next one, East nine factorial again. Same formally in factorial equal toe and in tow and minus one in tow. N minus two in minus three. So own deal one here in east nine. So nine factorial equal toe nine into eight in two and minus two is seven six. Fly for three to hang Funk. So answer is 362 880 If you multiply all the numbers, they will get 36 to 880 Next one A's zero factorial zero factorial is one. By the definition zero factorial is one by that definition, then we have to calculate one factorial one factorial ease one how according to the our definition on formally we had to find out in factorial equal toe and in tow. N minus one. He will end He's one into end minus one is one minus one equal to one into one That is one. So all final answer is one. He'll be hard to find out the number off permutations off six objects eight food a take time. But this week, indicted as six be four according to the formally here n e six on audience for what is n and is the number off objects from which the permutation is formed. So we have to detail mine four possibilities off permutation on it four times on four different objects. Okay, for the formally ease and be our number off permutations formed at our different objects He's and factorial by and minus odd factorial If you substitute the value soft and are we will get here and equal toe six and equal to six and are equal to four six. Factorial, directed by en minus Odd is six minus four. Factorial six. Factorial ease six into five into Ford into three into two into one, divided by six. Minus four is two factorial, so two into one. If you can sell these two numbers, then be how he'll six into fire into four into three. If you multiply, all four numbers will get 3 60 Next one ace. We have to find out Hubble objects possible These egg. Four Different story. Eight different objects we have to find well number off objects, possibilities and permutations at eight different objects. Thirties and B R. Number of permutations at our different objects equals two, and factorial by and minus are affected. He'll and he's well at Odd East A. Once you substitute the values in the formally and is 12 factorial divided by n minus. R. Factorial is well minus eight. Factorial full factorial is 12 into 11 in tow, then into nine. You know, live. We are doing this because ended two and minus one in two and minus doing too. Still on its goes on till one a 76 five full three. Do I want do it, but 12 minus eight. He's full effect. Doria, that is four factorial is foreign to three into doing to one. Okay for factorial, we had toe cancel Finally on. So he's learn Pazin 880 Next one, ease seven possibilities It full seven different objects. That is, um Now I'm writing directly. Seven factorial because certain is in. They were aided by seven minus seven. That is he up and equal to seven on our equal toe. Also seven. Yeah, seven. Factory it is seven into six in tow. Fight into food into three into two into one. Divided by seven. Minus seven is Zito zero factorial ease. You want seven into six into five into four into three into two. One. Do it by zero. Factorial is one. So we will get if you multiply all these numbers file lack 40. Next one is We have to find out the number off permutations there food Be Tzeitel heel and equal to zero Study an equal to four. He'll and equal to four on our equal do zero you only the formally off. Ah, hard to find our dog number of permutations off judo objects. That is and factorial by and minus R factorial and is four so full factorial divided by and minus. R is for minus zero. Factorial four. Factorial is foreign to three into two into one, divided by four minus zero is for so it's also four factorial four into three into two into one equal toe. You can consult on the numbers, so only one one piece hot answer. Next one. He's nine Pito, you know, and is the number off objects from which the temptation is formed on are the number off objects used to form the commendation. He'll and ease nine. And are these do so? N p r equal do number of possible? These it are at the time. What is the number off objects to form? The permutations? Equal toe in factorial, directed by and minus Artifact with it, that is. Nine factorial by nine minus two. Factory nine in tow, eight and seven multiplied by six, multiplied by five for full three tool and fly nine minus two. Factorial is seven factorial. So seven Sikhs fly for in tow, three in tow, two into one. You can cancel all these numbers. 556677 so we have only nine into eight. That is 72 72. Possibilities and permutations scale formed. Next one. Ease living. Be See he'll and equal toe living. I are equal to three and is the number off objects from which the permutation is formed On our is the number off objects used to form the petition. Dissolve their different objects. We have to determine no and be odd. That is an factorial divided by n minus R. Factorial. We have done so many problems, so you all notice and and what is our and is living so Levin Factorial is on n minus. R Factorial ease Levin minus three. Factorial Levin Factorial is 11 into then in tow. Nine into eight into seven into six into five into food into three into two into one, divided by nine Levin minus art is nine minus three 11. Minus three is nine. So night in tow. Eight into seven into six into five into full in tow, three in tow to into one so we can cancer. Nine. Factorial, that is

View More Answers From This Book

Find Another Textbook

Evaluate each expression.$$\begin{array}{llll}{a .} & {6 !} &…

Evaluate each expression.$$\text { a. } \frac{10-4}{6-5}$$$$\text { …

Evaluate each of the following expressions.a) $\left(\begin{array}{l}7 \…

Evaluate each of the following expressions.a) $\left(\begin{array}{l}8 \…

Evaluate each expression.$$\begin{array}{ll}{a . _{5} \mathrm{C}_{2}…

Evaluate the expression $\frac{3^{2}+6-5}{2 \cdot 5}.$$$(F)1\quad (G)5\q…

Evaluate each expression. See Example $9 .$$$7-12\left[7^{2}-4(2-5)^…

Evaluate each expression. See Example $9 .$$$\frac{3[-9+2(7-3)]}{(8-…

Evaluate each expression. See Example 6.$$[9+(-10)]+(-7+9)$$

Evaluate each expression.$$1-\frac{_{5} P_{3}}{_{10} P_{4}}$$

Evaluate each expression.$1-\frac{_{5} P_{3}}{_{10} P_{4}}$

Evaluate each expression.$$\frac{4|9-7|+|-7|}{6^{3}-211}$$

Evaluate each of the following expressions, if possible.$$11-6(2-7)$$

Evaluate each of the following expressions, if possible.$$11-6 \cdot 2-7…

Evaluate each of the following expressions, if possible.$$11-(6 \cdot 2-…

Evaluate each of the following expressions, if possible.$$(11-6)(2-7)$$<…

Evaluate each of the following.a. $4 !$b. $7 !$c. $0 !$d. $\…

Evaluate each expression. See Examples $1-3$.$$6 ! \cdot 7$$

Evaluate each expression.$$\text { (a) } 3^{8} \cdot 3^{5}$$…

In Problems 9 and 10 , evaluate each expression using the values given in th…

14:39

Use the normal approximation to the binomial to find the probabilities for t…

12:45

For the data in Exercises 16 in Sections $10-1$ and $10-2$ and 18 in Section…

04:33

Define the standard error of the estimate for regression. When can the stand…

00:32

Explain why a normal distribution can be used as an approximation to a binom…

00:34

For Exercises 10-20 determine if the following questionsare well written…

03:38

The top web browser in 2015 was Chrome with 51.74% of the market. In a rando…

10:09

Assume that the mean systolic blood pressure of normal adults is 120 millime…

02:11

Exercises 1 through 9 present survey questions. Determine if thequestion…

01:58

Aspects of Students' Academic Behavior A college statistics professor i…

09:12

In a study of the life expectancy of 500 people in a certain geographic regi…