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spin [16.1K]
3 years ago
13

From a group of 6 candidates, a committee of 2 people is selected. In how many different ways can the committee be selected? I k

now the answer is 15 ways , but how do you do it ? 30 points
Mathematics
2 answers:
kolezko [41]3 years ago
7 0
This is a combination problem. 

6 nCr 2

\frac{6!}{2! * (6-2)!} =  \frac{720}{48}=15<span><span>

</span></span>
Artemon [7]3 years ago
6 0

Answer:

15

Step-by-step explanation:

Here we have to use the combination formula.

nCr = n! / r! (n - r)!

Given: n = 6 and r = 2

Plugging in the given values, we get

6C2 = 6! / 2!(6 - 2)!

= 6! / 2! 4!

6! = 1*2*3*4*5*6 = 720

4! = 1*2*3*4 = 24

2! = 1*2 = 2

6C2 =  720 / 2*24

= 720/48

= 15

We can select in 15 different ways.

Hope this will helpful.

Thank you.

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3 years ago
If the diameter of a circle is 16 cm, find it’s radius
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Read 2 more answers
Standing 140 feet from the base of a tree, Alejandro uses his clinometer to site the top of the tree. The reading on his clinome
Advocard [28]

Answer:

132 feet

Step-by-step explanation:

Given that Alejandro is standing at a distance of 140 feet from the base of the tree and his eyes are 6 feet above the ground.

Let AB is the height of the tree and point E is the location of his eyes which is 6 feet above from C on the ground as shown in the figure.

The distance between points A and C, AC=140 feet.

Drawing a horizontal line from point E which meets AB at point D as shown.

As ACED forms a rectangle, so

AC=DE=140 feet ...(i)

CE=AD= 6 feet ...(ii)

The height of the tree, AB=AD+DB

By using equation (ii),  AB=6+DB ...(iii)

Now, given that the on watching the top of the tree, the reading on the clinometer is 42 degrees.

So,\angle DEB = 42^{\circ}

In triangle DEB,

\tan 42^{\circ} = \frac {DB}{DE} \\\\\Rightarrow DB = DE \times \tan 42^{\circ} \\\\

\Rightarrow DB = 140 \times \tan 42^{\circ} [from (i)]

\Rightarrow DB = 126 feet

From equation (iii) the height of the tree is

AB=6+126=132 feet.

Hence, the height of the tree is 132 feet.

7 0
2 years ago
PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((
Rom4ik [11]
X= -10
Y=7
Y=1/5X+9
Y=1/5 •(-10)+9
Y= -10/5 + 9
Y= -2+9
7=7

Y= -1/2 • (-10) +2
Y= 10/2 +2
Y=5+2
7=7

Yes
4 0
2 years ago
Simply: 9+2(3+4) <br> I need help
Masja [62]

Answer:

23

Step-by-step explanation:

9+2(3+4)

PEMDAS

Parentheses first

9+2(7)

Then multiply

9+14

Then add

23

8 0
3 years ago
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