Answer:
10 ways
Step-by-step explanation:
The number of ways in which five basketball players could be placed in three positions is:
5
= 
= 
= 
= 5 × 2
= 10
The basketball players can be arranged in 10 ways.
Given:
Consider the completer question is "Find the derivative 
for 
."
To find:
The derivative .
Solution:
Chain rule: 
Quotient rule: ![\dfrac{d}{dx}\dfrac{f(x)}{g(x)}=\dfrac{g(x)f'(x)-f(x)g'(x)}{[g(x)]^2}](https://tex.z-dn.net/?f=%5Cdfrac%7Bd%7D%7Bdx%7D%5Cdfrac%7Bf%28x%29%7D%7Bg%28x%29%7D%3D%5Cdfrac%7Bg%28x%29f%27%28x%29-f%28x%29g%27%28x%29%7D%7B%5Bg%28x%29%5D%5E2%7D)
We have,
Differentiate with respect to x.
Using chain rule and quotient rule, we get
Therefore, the required answer is .
Answer:
Total number of tables of first type = 23.
Total number of tables of second type = 7
Step-by-step explanation:
It is given that there are 30 tables in total and there are two types of tables.
Let's call the two seat tables, the first type as x and the second type as y.
∴ x + y = 30 ......(1)
Also a total number of 81 people are seated. Therefore, 2x number of people would be seated on the the first type and 5y on the second type. Hence the equation becomes:
2x + 5y = 81 .....(2)
To solve (1) & (2) Multiply (1) by 2 and subtract, we get:
y = 7
Substituting y = 7 in (1), we get x = 23.
∴ The number of tables of first kind = 23
The number of tables of second kind = 7
