Because the order doesn't matter on where each person sits use the combinations formula:
C = n! / (r!(n-r)!)
Where n is the total number of people and r is the number of chairs.
C = 6! / (4!(6-4)!)
C = (6*5*4*3*2*1) / ((4*3*2*1(2*1))
C = 720 / (24*2)
C = 720 / 48
C = 15
There are 15 different arrangements.
Answer:
40
Step-by-step explanation:
by using similar triangles;
27/24=45/x
x=45x24/27=40
Answer: y=6
Step-by-step explanation:
The given number is y.
According to the question,
Step 1 . subtracts three from the number (y-3), then doubles it
i.e. Final number = 2(y-3)
Step 2 . subtracts three again i.e. (2(y-3)-3), and doubles the number again
i.e. Final result = 2(2(y-3)-3)
If the result is his original number y, then
2(2(y-3)-3) =y
⇒ 2(2y-6-3)=y [ using distributive property]
⇒ 2(2y-9)=y
⇒ 2(2y)-2(9)=y [ using distributive property]
⇒ 4y -18=y
⇒ 4y -y= 18
⇒ 3y= 18
⇒ y= 6 [Divide both sides by 3]
Hence, y=6
Answer:
It's B
Step-by-step explanation:
Because I randomly guessed and that was the answer.
Answer: 64
Step-by-step explanation:
256 is thesame thing as 2 raise to power of 8.
We then multiply 2 raise to power 8 by the power of 3/4. We will then be left with 2 raise to power 6.
2 raise to power 6 equals:
= 2 × 2 × 2 × 2 × 2 × 2
= 64
Check the attached file for proper explanation.
