The question is asking 'how many different ways can we pair two diplomats to shake hand'?
The combination formula is given by:
![\frac{n!}{(n-r)!r!}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bn%21%7D%7B%28n-r%29%21r%21%7D%20)
We have n = 25 and r = 2
Substituting into the formula we have
![\frac{25!}{(25-2)!2!} =300](https://tex.z-dn.net/?f=%20%5Cfrac%7B25%21%7D%7B%2825-2%29%212%21%7D%20%3D300)
handshakes
Answer:
8
Step-by-step explanation:
Answer:
See screenshot below
Step-by-step explanation:
Yes Bus Column:
- We need to find an answer for the "no taxi" section. And we have the total and the "yes taxi" section. So, the "yes taxi" section + the "no taxi" section gives you the total. Another way of saying this is total - "yes taxi" = "no taxi"
- 125 - 30 = 95
No Bus Column:
- We need to find the total of the "yes taxi" section and the "no taxi" section. So, if we add those two sections together, we'll get the total
- 90 + 185 = 275
Total column:
- So, this column is really simple to fill out. All we're doing it adding our answers above to get one answer in each section.
- "Yes Taxi" section: 30 + 90 = 120
- "No Taxi" section: 280
- Total section: 125 + 275 = 400
- We could have also done the total section by adding together 120 and 280, but we would get the same answer, anyway.
I hope this helps!
X^2 +12x = -20
<span>take the coefficient of X
divide it by 2
square that number
then add it to both sides of the equation.
12 / 2 = 6
6^2 = 36
</span>
x^2 +12x +36 = 16
(X+6) * (X+6) = 4*4
X+6 = 4 X= -2
X+6 = -4 X= -10
Answer:
x = 32
Step-by-step explanation:
=
=
( cross- multiply )
x = 8 × 4 = 32