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Vikentia [17]
3 years ago
14

Harry, Peter and 7 girls sit in a row. Harry can't sit in an end seat. In how many ways can they be arranged?

Mathematics
2 answers:
Sonja [21]3 years ago
4 0
All possibilities = 9! 
possibilities that harry sits at an end = 8! + 8! 
possibilities that harry doesn't sit at an end = 9! - 8! -8! 

vekshin13 years ago
4 0
List of all possibilities, without restrictions (ie Harry can sit in any of the 9 seats): 9!
List of all possibilities where Harry sits on either end: 2 \cdot 8!

Hence, list of all possibilities where Harry doesn't sit on either end: 9! - 2 \cdot 8! = 282,240 ways.
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if 7 < 5, then 5 < 3 state the inverse, contrapositive, and converse of each conditional statement. then indicate whether
RUDIKE [14]

The given conditional statement is : If 7<5, then 5<3.

Inverse: If 7≥5 then 5≥3 (The inverse is true)

Contrapositive: if 5≥3 then 7≥5 (The contrapositive is true)

Converse: if 5<3 then 7<5 (The converse is true)

From the properties of conditional statement we know that:

if p→q then

  • inverse is : \backsim p \rightarrow \backsim q
  • contrapositive:\backsim q \rightarrow \backsim p
  • Converse:q \rightarrow p

Let us elaborate on the above conditions. Let us take two statement p and q  such that If p happens then q also happens.

  • The inverse of a conditional statement is given as "if not p then not q"the converse is given as "if q then p"The contrapositive of the statement states "if not q then not p"
  • The following statements can be used for converting the conditional statements to its inverse, converse or contrapositive.

To learn more about conditional statements:

brainly.com/question/7066208

#SPJ4

3 0
1 year ago
Pls help me, i’ll give brainly
Papessa [141]

Answer/Step-by-step explanation:

First, find the slope (m) of Line L using the points (0, 5) and (2, 1):

slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 5}{2 - 0} = \frac{-4}{2} = -2

Slope (m) = -2

✔️Since the line is parallel bro Line L, it would also have the same slope value of -2.

We can use the slope (m) and a point (a, b) of the line to find its equation using the point-slope formula, y - b = m(x - a).

Substitute (a, b) = (3, 0), and m = -2 into y - b = m(x + a):

Thus,

✅y - 0 = -2(x + 3)

Rewrite equation in slope-intercept form

y = -2(x + 3)

✅y = -2x - 6

5 0
3 years ago
Given f(x)= 3x^2-5x+2 and g(x)= 4x- 6, find f(x)+g(x).
kirill115 [55]

f(x) = 3x² - 5x + 2

g(x) = 4x - 6


f(x) + g(x)


(3x²- 5x + 2) + (4x - 6)

3x² - 5x + 2 + 4x - 6

3x²- 5x + 4x + 2 - 6

3x² - x - 4

8 0
3 years ago
Rectangle PQRS has vertices at P(3,5), Q(8,5), R(8,0) and S. The coordinates of point S are
pashok25 [27]
I would have guessed point S is (3,0). 
7 0
3 years ago
Read 2 more answers
Josh has some nickels. He says they are worth exactly 33 cents. Can you tell if Josh is correct or not?
Katyanochek1 [597]

Answer: Josh is incorrect because nickels are worth 5 cents each and 33 can not be divided by 5 exactly.

8 0
3 years ago
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