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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

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vampirchik [111]

Hey.

I hope that you're familiar with P.E.M.D.A.S :)

applying PEMDAS :

2 + 6 × 5 ÷ 8

2 + 30 ÷ 8

32 ÷ 8 = 4

Hence, The required answer is 4

Thanks.

8 0
3 years ago
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the average of two numbers is 34 the first number is three times the second number what are the two numbers
tino4ka555 [31]
Hi there!

To solve this problem, we need to set up two equations and use the system of equations to solve.

Let x be the first number.
Let y be the second number.

(x + y) ÷ 2 = 34
x = 3y

Now, we can use substitution to solve.

(3y + y) ÷ 2 = 34
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Now, we plug the value of y in the equation to solve for x.

x = 3*17
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Hope this helps!
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3 years ago
How to solve algebraic expression using pemas(please excuse my aunt sally)
cupoosta [38]
Its actually PEMDAS you forgot the D. 
P-parentheses ()   E-exponents     M-multiplication  D-division    A-addition   S-subtraction.  <span />
3 0
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Will give brainliest!! 30 points!! need answer asap!!
OlgaM077 [116]

Answer:

the answer is c

Step-by-step explanation:

4 0
3 years ago
Gerardo says that a cube with edges measure 10 centimeters has a volume that is twice as much as a cube with sides that measure
Andrej [43]
V=LWH
cube
V=L^3
if it is doubled, then each dimention (LWH) is dobubled
since L=W=H
V=(2L)^3
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demonstarte

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