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
FromTheMoon [43]
2 years ago
10

1.How many combinations are possible from the letters HOLIDAY if the letters are taken?

Mathematics
1 answer:
Lesechka [4]2 years ago
6 0

Using the combination formula, it is found that:

1. A. 7 combinations are possible.

B. 21 combinations are possible.

C. 1 combination is possible.

2. There are 245 ways to group them.

<h3>What is the combination formula?</h3>

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by:

C_{n,x} = \frac{n!}{x!(n-x)!}

Exercise 1, item a:

One letter from a set of 7, hence:

C_{7,1} = \frac{7!}{1!6!} = 7

7 combinations are possible.

Item b:

Two letters from a set of 7, hence:

C_{7,2} = \frac{7!}{2!5!} = 21

21 combinations are possible.

Item c:

7 letters from a set of 7, hence:

C_{7,7} = \frac{7!}{0!7!} = 1

1 combination is possible.

Question 2:

Three singers are taken from a set of 7, and four dances from a set of 10, hence:

T = C_{7,3}C_{10,4} = \frac{7!}{3!4!} \times \frac{10!}{4!6!} = 245

There are 245 ways to group them.

More can be learned about the combination formula at brainly.com/question/25821700

You might be interested in
The following frequency table shows the essay scores by students in Mr. Ji's class.
topjm [15]
They would be 4 more points because it’s less then on their essay but okay yeah
7 0
3 years ago
Read 2 more answers
How many crores are there in 20 million​
olga55 [171]

Answer:

20 million = 2 crore

Step-by-step explanation:

Here we will show you how to convert 20 million to crores (twenty million in crores). This may be useful if you for example want to convert 20 million rupees to crore rupees or 20 million dollars to crore dollars.

In some parts of the world like the United States, large numbers are separated with commas in three-digit-interval format like this:

...,BBB,MMM,TTT,HHH

BBB = billions

MMM = millions

TTT = thousands

HHH = hundreds

In certain parts of Asia, the format is a little different. From right to left, it starts out with three digits followed by a comma like the US, but after that, it is in intervals of two digits like this:

..,AA,CC,LL,TT,HHH

AA = arabs

CC = crores

LL = lakhs

TT = thousands

HHH = hundreds

Below we have displayed 20 million with the two number systems, based on the information above:

MM,TTT,HHH

20,000,000

=

C,LL,TT,HHH

2,00,00,000

When you match up 20 million with the C,LL,TT,HHH format above, you can see what 20 million is in crores. The answer to 20 million in crores is as follows:

20 million

= 2 crore

4 0
3 years ago
Find the solutions of the quadratic equation 3x^2 + 9x + 17 = 0
kirill115 [55]

Answer:

x=  

6

9−  

285

​  

 

​  

=  

2

3

​  

−  

6

1

​  

 

285

​  

=−1.314

x=  

6

9+  

285

​  

 

​  

=  

2

3

​  

+  

6

1

​  

 

285

​  

=4.314

Step-by-step explanation:

8 0
2 years ago
7/8 greater than or less than 2/4
Vaselesa [24]

Answer:

greater than

Step-by-step explanation:

7/8 is greater than 4/8

4 0
2 years ago
During a recent snowstorm, Boston got 2.8
ipn [44]

New York got 4.64 times more snow than Boston did.

If Boston got 2.8 feet of snow and New York City got 13 feet, the amount of feet that New York got more than Boston is:

= Amount of snow New York got / Amount of snow Boston got

= 13 / 2.8

= 4.64 more than Boston

New York therefore got about 4.64 more snow than Boston did

<em>Find out more at brainly.com/question/24074411. </em>

6 0
3 years ago
Other questions:
  • 1. Choose the answer that correctly expresses this ratio in fraction form.
    6·1 answer
  • If A(5,-3) and M(-4, 2) is the midpoint of line segment AB.
    8·2 answers
  • I need help<br><br> -5 = 3/4x -2<br><br> -7 + 1/2x =12<br><br> -7 -5/6x =18
    13·1 answer
  • How much work is done by a crane that raises 2000 N of material a distance of 100 m
    7·2 answers
  • Write an equation of the line that passes through the given points and is parallel to the given line 1. (4,1);y=-2x+7 2. (0,6);y
    15·1 answer
  • Help me please!!!!! I just need this 1 answer!
    11·1 answer
  • If z/3 = 6, what is z equal to?
    5·2 answers
  • There are some people in a cinema.
    8·1 answer
  • A) SAS <br> B) AAS <br> C) Not enough information<br> D) SSS
    8·1 answer
  • Help me to the this question​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!