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Anit [1.1K]
2 years ago
8

How many ways are there to select 25 books from a collection of 27 books? i am just studying today

Mathematics
1 answer:
laiz [17]2 years ago
4 0

notice, this will just be a Permutation.

\bf _nP_r=\cfrac{n!}{(n-r)!}\qquad \qquad \stackrel{\textit{25 books off a total of 27}}{_{27}P_{25}=\cfrac{27!}{(27-25)!}} \\\\\\ _{27}P_{25}=\cfrac{27!}{2!}\implies 5444434725209176080384000000

you can always check your calculator also for a [ ₙPᵣ  ] button.

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The variable can be g for games being bowled and the expression is 25g
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3 0
2 years ago
Justin lives 3 2 5 miles from his grandfather's house. Enter the mixed number as a fraction greater than one. 3 2 5 =
elena-s [515]

Answer: \dfrac{17}{5} miles

Step-by-step explanation:

We can express a mixed fraction as an improper fraction.

The process is as follows:

a\dfrac{b}{c}=\dfrac{ac+b}{c}

The given mixed number = 3\dfrac25 miles

This can be represented as

3\dfrac25=\dfrac{3\times5+2}{5}\\\\=\dfrac{15+2}{5}\\\\=\dfrac{15+2}{5}\\\\=\dfrac{17}{5}>1

Hence, the required fraction= \dfrac{17}{5} miles

3 0
3 years ago
The midpoint of AB is M(3,3). If the coordinates of A are (2,-8), what are the coordinates of B?
Lyrx [107]

Step-by-step explanation:

MID POINT =[(X1 +X2)/2 , (Y1 +Y2)/2]

WE KNKW THAT A(2,–8) AND THE MID POINT IS (3,3)

SUBSTITUTING INTO THE EQUATION ABOVE

(3,3) = [(2+ X2)/2 ,(–8+ Y2)/2]

EQUATING THE X COORDINATES

=> 3 = (2+ X2)/2 (CROSS MULTIPLY)

=> 6 = 2 + X2

X(subscript 2)= 4

EQUATING THE Y COORDINATES

=> 3 =(–8 +Y2)/2 (CROSS MULTIPLY)

6 = –8 +Y2

=> Y(subscript 2)= 14

THEREFORE THE COORDINATES OF B ARE (4 ,14)

hope this helps :)

4 0
3 years ago
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
Kaylis [27]

Answer:

Adults $ 17

Students: $8

Step-by-step explanation:

Adults: x

Students: y

a) 25x + 31y = 673

b) 27x +31y = 707

Elimination:

a) -1(25x + 31y = 673) = -25 -31y = -673

a + b

= (-25 -31y = -673) + (27x + 31y = 707)

= 2x = 34

x = 34/2

x = 17

Substitution a or b:

a) 25(17) + 31y = 673

425 + 31y = 673

31y = 673 - 425

31y = 248

y = 248/31

y = 8

3 0
2 years ago
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