Question: 17. Show that For a combinatorial argument, consider a set of n items and fix attention on one of these items. Howmany different sets of

17. Show that

n -1 ( ) = ( ) ) + ( " ~

For a combinatorial argument, consider a set of n items and fix attention on one of these items. Howmany different sets of size r contain this item, and how many do not?

n -1 ( ) = ( ) ) + ( " ~ n-1 r

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Statistics For Engineers And Scientists Questions!

17. Show that For a combinatorial argument, consider a set of n items and fix attention on one of these items. How many different sets of size r contain this item, and how many do not? (n-1 (n-1...

Show that For a combinatorial argument, consider a set of n items and fix attention on one of these items. How many different sets of size r contain this item, and how many do not? ()=(-1)+("") r

INTRODUCTION IKEA is one of the world's most successful global retailers. In 2007, IKEA had 300 home furnishing superstores stores in 35 countries and was visited by some 583 million shoppers.IKEA's...

Briefly describe ASCII and Unicode and draw attention to any relationship between them. [3 marks] (b) Briefly explain what a Reader is in the context of reading characters from data. [3 marks] A...

413-432_CH18_Nachmias.qxd 1/17/07 3:47 PM Page 413 Chapter Index Construction and Scaling Methods INDEX CONSTRUCTION The Purpose of the Index The Sources of the Data The Base of Comparison Methods of...

Let A, B be sets. Define: (a) the Cartesian product (A B) (b) the set of relations R between A and B (c) the identity relation A on the set A [3 marks] Suppose S, T are relations between A and B, and...

Submitted to Management Science manuscript MS-0001-1922.65 Authors are encouraged to submit new papers to INFORMS journals by means of a style file template, which includes the journal title....

Describing Data Once we have collected data from surveys or experiments, we need to summarize and present the data in a way that will be meaningful to the reader. We will begin with graphical...

make a project on topic priority queue using binary heap help with the research paper giving above to implementation code in python data structure do it in one day S.L. Graham, R.L. Rivest Editors...

Chapter 10 Business Process and Information Systems Development \"Jeff, we clean the clubhouse restrooms twice a day . . . in the morning before 7 and again just before lunch. We've been doing that...

In the early 1970s the Environmental Protection Agency announced that lead content would not be allowed in gasoline after a certain date. Prior to that time, three producers had been selling a very...

Find the limit or write ONE if there is no limit lim x +21x - x = = x

Which of the following statements is correct regarding ESOPs and stock bonus plans? Group of answer choices Both ESOP and stock bonus plan deductions are capped at 2 5 % . Stock bonus plans and ESOP...

a. Financial statements should aid the user of the statements in making decisions. In your opinion, would the user of the statements be aided if there were a distinction between financial reporting...