1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
irina1246 [14]
3 years ago
5

In how many ways can a photographer at a wedding arrange six people in a row, including the bride and groom, if a) the bride mus

t be next to the groom? b) the bride is not next to the groom? c) the bride is positioned somewhere to the left of the groom?
Mathematics
1 answer:
ELEN [110]3 years ago
5 0

Answer: a) 240, b) 480, c) 360

Step-by-step explanation:

Since we have given that

Number of people = 6

Number of bride and groom = 2

So, remaining people = 6-2 = 4

So, using the fundamental theorem of counting

remaining people can be arranged in

4!=4\times 3\times 2\times 1=24

Since bride has 5 positions to stand and grooms too has 5 positions to stand.

so, Number of positions for both bride and groom = 5+5=10

So,  a) the bride must be next to the groom?

Number of ways = 24\times 10=240

b) the bride is not next to the groom?

Total number of ways would be

6!=6\times 5\times 4\times 3\times 2=720

So, Number of ways that the bride is not next to the groom is

720-240=480

c) the bride is positioned somewhere to the left of the groom?

If Groom is in second position, bride has 1 ways to stand

If Groom is in third position , bride has 2 ways to stand

If Groom is in fourth position, bride has 3 ways to stand

If Groom is in fifth position, bride has 4 ways to stand

If Groom is in sixth position, bride has 5 ways to stand.

So, Number of ways to stand = 1+2+3+4+5=15

So, the total number of ways bride is positioned somewhere to the left of the groom is given by

24\times 15=360

Hence, a) 240, b) 480, c) 360

You might be interested in
What are the two solutions of x2 – 2x – 4 = –3x + 9?
Komok [63]
<span>x=<span><span>​2</span>​<span>​<span>−1+<span>√<span><span>​<span>53</span></span>​<span>​​</span></span></span></span></span><span>​​</span></span>,<span><span>​2</span>​<span>​<span>−1−<span>√<span><span>​<span>53</span></span>​<span>​​</span></span></span></span></span><span>​​</span>

I hope this helps. :)</span></span>
6 0
3 years ago
Read 2 more answers
The scale of a certain map is 4/5 inch = 16 miles. A square park is represneted on the map by a square with side length 5/8 inch
lions [1.4K]

Answer:

The area of this park is 130.60 square miles.

Step-by-step explanation:

Given : The scale of a certain map is \frac{4}{5} inch = 16 miles. A square park is represented on the map by a square with side length \frac{5}{8} inch.

To find : What is the actual area of this park?

Solution :

The scale of a certain map is \frac{4}{5} inch = 16 miles.

Let the side length of \frac{5}{8} inch = x miles.

So, \dfrac{\frac{4}{5}}{\frac{5}{8}}=\dfrac{16}{x}

\dfrac{4\times 8}{5\times5}=\dfrac{16}{x}

\dfrac{32}{25}=\dfrac{16}{x}

x=\dfrac{16\times 25}{35}

x=11.428

The side length of a square is 11.428 miles.

The area of the square is A=s^2.

A=(11.42)^2

A=130.599\ miles^2

To nearest hundredth,

The area of this park is 130.60 square miles.

8 0
3 years ago
Helen bought 1 pint of fruit juice. What is the quantity of fruit juice bought by her in fluid ounces?
ladessa [460]

Answer:  C

Step-by-step explanation:

There are 16 fl oz in a pint

8 0
3 years ago
Read 2 more answers
What do we call people who were taken from Africa to America and sold into bondage?
sesenic [268]

Answer:

slaves

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Simplify 27- 9+(12-5)÷4 with solution ​
viktelen [127]

Answer:

It's 28 3/4

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • Two angles are supplementary. one angle is 5 degrees more than 6 times the other. find the measure of each angle
    13·1 answer
  • Susan wants to buy a paddleboat for $840 she'll pay 20% down and pay the rest in six monthly installments what will be the amoun
    11·1 answer
  • Which equation is in slope-intercept forms and represents a line slope 1/4 through the point 0,0
    9·1 answer
  • The angle measures and/or side lengths of a triangle are described. Determine whether the conditions given
    7·1 answer
  • Express sin6θ + sin4θ as a product.
    10·1 answer
  • If 1 yard = 3 feet and 1 mile = 5,280 feet, how many yards are there in 4 miles?
    15·1 answer
  • 2 + |x-4| = 5 <br> Please help
    13·2 answers
  • Can more than one triangle be drawn if you are given the specifications of two side lengths and one angle? yes or no
    9·1 answer
  • Which of the following equations has exactly one solution?
    12·2 answers
  • It’s going to be Lindsay’s birthday soon and her 5 friends Mary Jacqui Tadeusz opal and Tony have contributed equal amounts of m
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!