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3 years ago

Evaluate 12C3 Please show your work - Thank you!

Mathematics

2 answers:

NikAS [45]3 years ago

6 0

Answer: 220

Step-by-step explanation:

We know that the combination is a method to determine the total outcomes of an event where order of the outcomes does not matter.

To calculate combinations, we apply the formula given below:-

$^nC_r = \dfrac{n!}{(n-r)!r!}$ , where n represents the total number of items, and r represents the number of things being chosen at a time.

The given expression : $^{12}C_3$

Then by using above formula , we have

$^{12}C_3 = \dfrac{12!}{(12-3)!3!}\\\\=\dfrac{12\times11\times10\times9!}{9!\times6}=220$

dsp733 years ago

4 0

12C3 means nCr
You have 12 items of which you want to choose 3 and the order in which you choose them does not matter.

n! 12! 12! 479001600
---------- = -------- = ------- = ----------------- = 220
(r!(n-r)! 3!(12-3)! 3!(9!) 21177280

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Natasha2012 [34]

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5 0

3 years ago

A group of 100 students took a quiz. Their average score was 76 points. If the average score for the boys was 80 points and the

sveta [45]

Answer:

The number of girls participated in quiz is 40 .

Step-by-step explanation:

Given as :

Total number of students took quiz = 100

Average score of 100 students = 76 points

The Average score of boys = 80 points

The Average score of girls = 70 points

Let The number of boys participated in quiz = b

Let The number of girls participate in quiz = g

Now, According to question'

Total number of students took quiz = number of boys participated in quiz + number of girls participated in quiz

Or, b + g = 100 ........A

<u>Again</u>

∵ Average score of 100 students = 76 points

∴ Total score of 100 students = 76 × 100 = 7600

So, Average score of boys × number of boys participated + Average score of girls × number of girls participated = Total score of 100 students

Or, b × 80 + g × 70 = 7600

Or, 80 b + 70 g = 7600 .........B

Now, Solving equation A and B

(80 b + 70 g ) - 70 ×( b + g ) = 7600 - 70 × 100

I.e (80 b - 70 b) + (70 g - 70 g) = 7600 - 7000

Or, 10 b + 0 = 600

∴ b = $\dfrac{600}{10}$

i.e b = 60

So, The number of boys participated in quiz = b = 60

Put the value of b into eq A

∵ b + g = 100

So, g = 100 - b

Or, g = 100 - 60

i.e g = 40

So, The number of girls participated in quiz = g = 40

Hence, The number of girls participated in quiz is 40 . Answer

6 0

3 years ago

Help please asap i<br> show step by step !

pychu [463]

Answer:

a = $4\sqrt{3}$

b= 4

Step-by-step explanation:

It's a 30-60-90 triangle based on the given picture. A right triangle too

Use sine, cosine, and tangent to solve for the side.

To find b, you can use sin(30) = b/8 because sin(angle) = opposite/hypotenuse.

OR you can use the rule for 30-60-90 triangle, which is x for short leg, 2x for hypotenuse, and $x\sqrt{3}$ for long leg

So either way, b = 4

To find a, you can use cos(30) = a/8 because cos(angle) = adjacent/hypotenuse.

OR you can use the same rule, 30-60-90 triangle to save time

a will end up = $4\sqrt{3}$

6 0

3 years ago

Determine if the expression r - 5√r+r² is a polynomial or not. If it is a

rewona [7]

The expression r - 5√r+r² is a polynomial.

<h3>What is a polynomial?</h3>

Mathematical expressions called polynomials have one variable and many exponents.

The algebraic expression must have all of its exponents be non-negative integers in order for it to be a polynomial. As a general rule, an algebraic expression isn't a polynomial if it contains a radical.

No part of an algebraic expression should be - Variables' square roots. variable powers that are fractional. variable powers that are negative. variables in any fraction's denominator.

Exponents, variables, and constants make up a polynomial. The amount of terms a polynomial has determines its name.

Polynomials come in various varieties. Monomial, binomial, and trinomial, respectively.

The idea of the graph of a polynomial equation was first introduced by René Descartes in La géometrie, published in 1637.

To learn more about polynomial refer to:

brainly.com/question/2833285

#SPJ13

8 0

1 year ago

Read 2 more answers

3.9 meters to centimeters

tino4ka555 [31]

Meters: 3.9
centimeters: 390
i hoped i help :)