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SpyIntel [72]
1 year ago
7

SOLVE THE FOLLOWING PROBLEMS.

Mathematics
1 answer:
Studentka2010 [4]1 year ago
5 0

The answers to the question are:

  • 120
  • 210
  • 38760

<h3>How to solve for permutations and combinations</h3>

1. The letters of the word track can be arranged in 5! ways

These are  5 x 4 x 3 x 2 x1

= 120

2. The way that the student would be able to select 6 out of 10 questions would be by 10C6

= 210 ways

C)This teacher would be able to make the decision of the prices to the students using =20C6= n!(n-r!r!)

= 38760

Read more on permutations and combinations here:

brainly.com/question/4658834

#SPJ1

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5 0
3 years ago
what algorithm (rule) will produce the correct result for the sum "a+b" where a and b each represent any rational number.
Leokris [45]

Answer:

To find the sum of  a + b where a and b are rational number.

1. when a and b are natural numbers

just add them . for example a =3, b=8

then ,a + b = 11

2. When a and b  are whole numbers,

simply add them . for example a= 0, b=8

a+ b = 0 + 8= 8

3. When  a and b are integers

for example, a =-1 b=8,

a+ b= -1+ 8 =7,

a=-2, b= -8

a+ b= -2-8=-10

a= -6 , b=2

a+ b= -6 + 2= -4

a= 8, b= -2

a+ b= 8 +(-2) =6

I have written this because Rational number = [Integers{Whole number(Natural number)}]

now when a= Any fraction=\frac{p}{q} and b = Any fraction=\frac{u}{v}

now ,

\frac{p}{q} + \frac{u}{v}

Find L.C.M of q and v

= if q and v are Co-prime , just multiply them to find their  L.C.M.

For example 14,9. LCM=14×9=126

Otherwise, Find factors of q and v . Then take out common factors first and then multiply the remaining with with common factors.For example

q=12 and v=18

12 =2×2×3

18=2×3×3

common factor =2,3

non common=2,3

L.C.M= 2×2×3×3=36

Suppose LCM of q and v = r

then ,\frac{p}{q} + \frac{u}{v}

=\frac{{\frac{r}{q}}\times p+{\frac{r}{v}\times u}}{r}\\

= {{\frac{r}{q}}\times p+{\frac{r}{v}\times u}} = k

then ,

a + b=\frac{k}{r}





5 0
3 years ago
Explain why the absolute value of a number will never be negative
aleksandr82 [10.1K]
The absolute value of a number will never be negative because absolute value is the distance from zero, so it will always be positive. For example, you can't be -6 away from 0, you are 6 away from 0.
7 0
3 years ago
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How do you use the exchange rate to calculate the amount of ARS that is equal to 350 AUD
Anna11 [10]
Your answer would be <span>6678.02</span>
7 0
4 years ago
3p + 4r = q solve for p
Aleksandr-060686 [28]

Answer:

p = \dfrac{q - 4r}{3}

Step-by-step explanation:

3p + 4r = q

3p = q - 4r

p = \dfrac{q - 4r}{3}

7 0
3 years ago
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