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quester [9]
2 years ago
8

In how many different ways can a badminton team with 2 members, be chosen from a group of 6 people?

Mathematics
2 answers:
jok3333 [9.3K]2 years ago
3 0

Answer:

15 ways

Step-by-step explanation:

We can choose in ⁶C₂ ways.

=> 6 x 5 / 2

=> 30/2

=> 15 ways

Nana76 [90]2 years ago
3 0

Answer:

15 ways

Step-by-step explanation:

We need 2 people from a group of 6.

Pick a random person from the 6, then group them with another person. We have 5 ways to do so.

Now, we will pick a person to group with the person who got grouped with the first person, except the first person themself. We have 4 ways to do so

Keep repeating, we will have 5 + 4 + 3 + 2 + 1 = 15 ways to choose 2 people out of 6.

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A shirt and a tie together cost $57. The shirt costs $33 more than the tie. What is the cost of the shirt?
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Answer:

Shirt: $45 , Tie: $12

Step-by-step explanation:

Let s be the price of the shirt

Let t be the price of the tie

Given the information from the question,

s + t = 57 - Equation 1

s - t = 33 - Equation 2

We will use substitution method to find the prices.

We will rearranging equation 1.

s = 57 - t

We will substitute s into equation 2.

57 - t - t = 33

57 - 2t = 33

-2t = 33 - 57

-2t = -24

t = -24 / -2

= 12

We now substitute t into Equation 1.

s + 12 = 57

s = 57 - 12

= 45

From here we know, the shirt costs $45 and the tie costs $12

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The height of a triangle is 6x and the base is (3x + 10) cm. The area of the triangle is 816 sq. cm. What are the dimensions of
LiRa [457]

Answer:

Height: 48

Base: 34

Step-by-step explanation:

The formula for a triangle is 1/2(base)(height)

1/2(3x+10)(6x) = 816

18x² + 60x = 1632

18x² + 60x - 1632 = 0

Then, we use the Quadratic formula

x = (-60 ± √3600 + 117,504)/36

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x = 8

3(8) + 10

= 34

6(8) = 48

Therefore the dimensions are:

Height: 48

Base: 34

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