# Data management

posted by .

1) consider the number of grid paths from the orgin in a coordinate graph to each of the following points:

a) (4,7) b) (3,7) c) (4,6)

2) simplify: (n-r)! / (n-r+1)!

3) solve (n+2)!/ (n-1)! = 210

• Data management -

A),B),C)
It's like finding the number of ways to arrange 4 1's and 7-0's.
The number of ways is given by (m+n)!/(m!n!)
Experiment first with a grid of 2x2, and then a 2x3.

2.
(n-r)!/(n-r+1)!
=(1.2.3...n-r)/(1.2.3...(n-r).(n-r+1))
=1/(n-r+1)

3.
similarly,
(n+2)!/(n-1)! = 210
(1.2.3...(n+2))/(1.2.3...(n-1)) = 210
n.(n+1).(n+2) = 210
so try 5.6.7=210 OK.
So n=5,n+1=6,n+2=7

• Data management -

thank even though im not sure if u woule see this

• Data management -

You're welcome!

## Similar Questions

1. ### Math

The graph of the equation y=4-x consists of all the points in the coordinate plane that satisfy the equation. List 5 points that satisfy y= 4-x. Also, what do you think is the minimum number of points you need to plot in order to draw …
2. ### algebra

What is the equation for the line of best fit that matches the data shown in the table and in the graph?
3. ### Math Help 2 Questions Urgent!

1. The Pythagorean Theorem can be used to find distances between two points on a grid. But what about finding distances in three-dimensional space?
4. ### Algebra

12. Determine if the following is a conjuction or disjunction. y + 4 < -1 or y + 2 > 8 (Points : 1) 13. State how you determined if the combination above was a conjunction or disjunction. (Points : 2) 14. Solve the problem. (Hint: …
5. ### Math

The coordinate plane below represents a city. Points A through F are schools in the city. graph of coordinate plane. Point A is at negative 5, 5. Point B is at negative 4, negative 2. Point C is at 2, 1. Point D is at negative 2, 4. …
6. ### Math

The coordinate plane below represents a city. Points A through F are schools in the city. graph of coordinate plane. Point A is at negative 5, 5. Point B is at negative 4, negative 2. Point C is at 2, 1. Point D is at negative 2, 4. …
7. ### math

he coordinate plane below represents a city. Points A through F are schools in the city. graph of coordinate plane. Point A is at negative 5, 5. Point B is at negative 4, negative 2. Point C is at 2, 1. Point D is at negative 2, 4. …
8. ### Math

1. How can you represent a loss of 24 dollars as an integer?
9. ### Math

1. How can you represent a loss of 24 dollars as an integer?
10. ### ALGEBRA HELP #4

The coordinate plane below represents a city. Points A through F are schools in the city. graph of coordinate plane. Point A is at negative 5, 5. Point B is at negative 4, negative 2. Point C is at 2, 1. Point D is at negative 2, 4. …

More Similar Questions