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
MakcuM [25]
3 years ago
6

In how many ways can a photographer at a wedding arrange 6 people in a row from a group of 10 people, where the bride and the gr

oom are among these 10 people, if a) the bride must be in the picture?b) both the bride and groom must be in the picture? c) exactly one of the bride and the groom is in the picture?
Mathematics
1 answer:
Helga [31]3 years ago
8 0

Answer:

(a) 126 ways

(b) 70 ways

(c) 140 ways

Step-by-step explanation:

(a) if the bride must be in the picture.

Now, if the bride must be in the picture, it means we are selecting 5 out of 9 people.

This is a combination problem and can be solved as 9C5 = 126 ways

(b) if both the bride and the groom must be in the picture, it means a already have 2 places taken. What is left is to select 4 people from 8 people.

That is 8C4 = 70 ways

(c) Exactly one of the bride and the groom.

Here if the wife is in the picture, this means the husband cannot be in the picture. It simply means we are selecting 4 out of 8 people.

This is same as (b) above and it gives 70 ways.

Now If the husband is in the group, the wife cannot be there. We simply do same and this gives 70 ways. The total number of arrangements now yield 70 × 2 = 140 ways.

You might be interested in
Yves bought 420 tropical fish for a museum display. He bought 6 times as many parrotfish as angelfish. How many of each type of
Bond [772]
Given:
420 tropical fishes
angel fish = x
parrot fish = 6x

x + y = 420
y = 6x          Choice D.

x + y = 420
y = 6x 

x + 6x = 420 
7x = 420 
x = 420 / 7
x = 60 number of angelfish

y = 6x
y = 6(60)
y = 360 number of parrot fish

7 0
3 years ago
Can someone help me with this plz
Elis [28]
Choice A and Choice B
5 0
2 years ago
Which statement is true? A. 2x – 1 = 13 and x = 6 B. 2x – 1 = 13 and x = 7 C. 2x + 1 = 13 and x = 7 D. 2x – 1 = 13 and x = 11
alexandr1967 [171]

Answer:

B. 2x – 1 = 13 and x = 7

Step-by-step explanation:

We are given 4 equations and a solution for each. We have to tell which of the given solution satisfies the given equation.

Option A.

2x -1 = 13 and x = 6

Using this value in the equation, we get:

2(6) -1 = 13

12 - 1 = 13

11 = 13, which is not true. Hence this option is not valid

Option B.

2x - 1 = 13 and x = 7

Using the value in the equation, we get:

2(7) - 1 =13

14 - 1 =13

13 = 13, which is true. Hence this option is valid.

Option C.

2x + 1 =13 and x = 7

Using the value in the equation, we get:

2(7) + 1 = 13

15 = 13, which is not true. So this option is not valid

Option D.

2x - 1 = 13 and x = 11

Using this value in the equation, we get:

2(11) - 1 = 13

21 = 13, which is not true. Hence this option is not valid.

6 0
2 years ago
HELPPPP <br><br> what is this
Alchen [17]

Answer:

Pls be specific with your question

8 0
2 years ago
Help plz thank you lots
Galina-37 [17]
False
X is the output, and y is the input
6 0
3 years ago
Other questions:
  • Match each set of values to the correct median
    7·1 answer
  • One-half cup of black beans provides 12% of the potassium you need daily. You must get the remaining 3,740 milligrams from other
    11·1 answer
  • If the minimum payment on a credit card is 3% of the balance, write and equation that would find the minimum payment if the bala
    12·1 answer
  • Can you please answer this question?
    14·2 answers
  • 1. Pia printed two maps of a walking trail. The length of the trail on the first map is 8 cm. The length of the trail on the sec
    15·1 answer
  • Which statement best describes the equation x = 3
    11·1 answer
  • Pentagon RSTUV is circumscribed about a circle. What is the value of x if RS = 10, ST = 13, TU = 11, UV = 12, and VR = 12?
    9·2 answers
  • -0.5(4a-1.5)+0.5a can someone help me out with this
    15·1 answer
  • Evaluate (4)^-4 pls answer!!!
    7·1 answer
  • Let h(x)=-1/3x+2. Find -4h(9)
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!