A group of 7 boys and 3 girls is to be photographed. (a) How many ways can they be arranged in one row? (b) How many ways can they be arranged with the girls in the back row and the boys in the front row? (a) What expression should be evaluated to find the number of ways the boys and girls can be arranged in one row? 7!+3! 10! 7! 3!

A group of 7 boys and 3 girls is to be photographed. (a) How many ways can they be arranged in one row? (b) How many ways can they be arranged with the girls in the back row and the boys in the front row? (a) What expression should be evaluated to find the number of ways the boys and girls can be arranged in one row? 7!+3! 10! 7! 3!

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: FACTORIAL The number of different ways to arrange n objects is given by n!= nx (n-1)x(n-2)x...x3x2x1…

A: Given: The number of different ways to arrange n objects is given by n! = n×n-1×n-2×...×3×2×1

Q: -1 (4, -4) (2, –5) (6, –5) (4, -6)

Q: Miriam's art teacher presents her with five colors of paint but instructs her to use only three of…

Q: It is ok to leave factorials and binomial coefficients in the answer A choreographer is working…

Q: Soccer Shootout In soccer, a tie at the end of regulation time leads to a shootout by three members…

A: From the provided information, the total number of players are 11.The required total number of ways…

Q: 8. Solve. (a) In how many ways can a committee of 3 students be formed from 10 students if one…

Q: DIRECTION: GIVE THE RIGHT ANSWER OF THE FOLLOWING QUESTIONS: 1. What is the value of 8!? 2. A…

A: As per the Bartleby guidelines, when more than one question is asked, only first one should be…

Q: Suppose we want to choose 2 colors, without replacement, from the 5 colors red, blue, green, purple,…

A: Given,Total no.of colors=5 (red,blue,green,purple and yellow)

Q: A family is planning a camping trip at a national park. The national park has 4 campgrounds, each…

A: counting principle multiply number of choices to find total no. of possibilities. 4 campgrounds…

Q: please explain step by step, every concept in detail

A: To solve this problem, we can use the concept of combinations. Since the balloons of the same color…

Q: Out of 38 students in a class, 10 students like baseball, 20 students like football and 10 students…

Q: 5! (5-3)"

A: Solution

Q: You are planning a vacation to Patagonia, You have a choice of 3 hotels at which to stay, and a…

A: There are 3 choice of staying hotels, 5 different choices to use car rental companies and 4…

Q: please explain step by step, each concept in detail

A: To solve this problem, we must determine the number of different committees of 4 students that can…

Q: (b) All the letters of the word COMBINATION are to be arranged in a row. i. Find the number of…

Q: (a) How many ways can a student choose eight out of ten questions to answer on an exam? (b) How many…

A: (a) total number of question=10 to find number of ways can a student choose eight out of ten we…

Q: In a list of numbers, the first is 2, the second is 7, and each subsequent number is the sum of all…

A: Given that The first term =2The second term =7and each subsequent number is the sum of all the…

Q: ((6 – 9) - 3) + ((-8) +(-1) + 6)

Q: Mario and Isabella are playing the Integer Card Game. The cards in their hands are shown: Isabella's…

Q: 12. Max and Ismail were playing a card game using 128 cards. In the first game, Ismail lost E of his…

A: Given Information - Max and Ismail are playing a game using 128 cards. In first game Ismail lost 15…

Q: 22(3+2)-42+11 (-5) (-3)

Q: The number of ways runners in a four-runner race can finish 1st, 2nd, 3rd and 4th is. Group of…

A: There is 4 position in four runner race.

Q: How many ways can an adviser choose 4 students from a class of 12 if they are all assigned the same…

Q: A boy has a collection of 20 pennies, 8 nickels, 10 dimes and 15 quarters. How many coins must the…

A: ANSWER :

Q: (b) 6 + 7 + 8 + 9 + ... + k

A: (b) Given that 6+7+8+9+...+k The objective is to find the sum. The formula for sum of numbers are,…

Q: An event planner is deciding what food to include in a buffet. The caterer has offered 10 cold…

A: a) There is total 10 cold dishes and 6 hot dishes. Hence, the total number of dishes are, 10 + 6 =…

Q: (14(5-10)+20*5)/5(6-2)

A: We have

Q: Eight freshmen and eight sophomores want to play flag football. At URI, a flag foot- ball team must…

A: Eight freshmen and eight sophomores want to play flag football a flag foot- ball team must have…

Q: From a class containing 5 boys and 6 girls a group of 5 students is to be selected. There are how…

A: We have given that Number of boys = 5 Number of Girls = 6 We have to select 5 students

Q: If the average of 5 integers is 300, if the average of the first 2 integers is 100, and the the…

A: given: the average of 5 integers is 300. the average of the first 2 integers is 100. the average of…

Q: Customer account "numbers" for a certain company consists of 2 letters followed by 3 single-digit…

A: Given Customer account "numbers" for a certain company consists of 2 letters followed by 3…

Question

A group of

boys and

girls is to be photographed.

(a) How many ways can they be arranged in one row?

(b) How many ways can they be arranged with the girls in the

back

row and the boys in the

front

row?

(a) What expression should be evaluated to find the number of ways the boys and girls can be arranged in one row?

7!+3!

10!

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

dog's banana tree has 16 bananas, and she wants to share them with her neighbors Beth and Carol, with Beth and Carol each getting no more than 7 banana. In how many ways a dog can share her banana?
Customer account "numbers" for a certain company consists of 2 letters followed by 4 single-digit numbers. How many different account numbers are possible if repetitions of letters and digits are allowed?
For a fishing trip Brian is going to choose lures to put in his tackle box. He has 7 lures that are buzzbaits and 4 that are crank baits. In how many ways can he choose 6 lures if 1 or fewer must be crank baits
COMBINATIONS 3. Ms Cruz asked Pearl to call two more of her classmates to help her carry their textbooks in class, if there are 12 students in Ms Cruz sections, how many different groups of students could Pearl take with her?
Mom took her kids on a field trip. They took a bus and one of the kids noticed that the sum of their seat numbers is 54. The other kid noticed that only one of those seat numbers is a prime number. How many kids did the mother take on the field trip if their seat numbers were consecutive numbers?
A student is to answer 10 out of 13 questions on an exam. (i) How many if he must answer exactly 3 of the first 6 questions? (ii) How many if he must answer at least 3 of the first 5 questions?
3(6+4)2-5(17-20)2
Professor Hermann gives his class 12 potential test questions, he will then put 5 of the 12 questions on the real test. In how many ways can Professor Hermann make up the test?
16+7(3?+8-6)