Question: combinatorics course but this is the calculus aspect ...need help with a step by step explanation (a) Prove by Induction on n, 3 + -

combinatorics course but this is the calculus aspect ...need help with a step by step explanation

(a) Prove by Induction on n, 3 + - + ... + 1 for n > k. (b) Hence prove by Induction on n, that the number of r-combinations atr-1 taken from n objects with repetitions allowed is [7] n - 1

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 Mathematics Questions!

Management accounting assignment: Write a critique with reference list. Please help me write something as much as you could. Analysing technology investmentsfrom NPV to Strategic Cost Management...

Combinatorics question but i am guessing this is the calculus aspect... really need some help with a step by step explanation 52. Solve the recurrence: do = -2; a1 = 1; a, = d,-1 - an-2, for n > 2....

What Most People Get Wrong About Men and Women Research shows the sexes aren't so different. Extracts. Magazine (May-June 2018) The conversation about the treatment of women in the workplace has...

Step 1: Prewriting/Idea Generation: FOR THOSE WHO HAVE TAKEN THE MYPLAN! CAREER ASSESSMENT: You should take the initial assessment, which is My Plan. The directions for this are part of the WP #1...

Please help me out step by step and explanation Exam scores in a large calculus course follow a uniform distribution on the interval from 18 to 98. What proportion of students have scores more than...

Math 221 Discrete Mathematics UOPX Make sure all of the are fresh work with proper citation APA format, no used work will be accepted thanks so much. To be substantive, in addition to meeting the...

Literature Review Examples Find a peer-reviewed literature review article that you will use as a source in your literature review. In three hundred words provide a critical analysis of the article...

Consider the trigonometric series a0 2 + X r=1 (ar cos rx + br sin rx) where a0, a1, a2, . . . and b1, b2, . . . are constants and suppose that f(x) is a periodic function of x with period 2. (a)...

"Fortran, Algol and Lisp invented most programming language concepts 50 years ago; adding the concept of object-orientation suffices to explain all programming languages to date". To what extent is...

s Bins hed f 14 13 15 16 10 11 12 9 3 Binh's Bins All Journal a It Again 4-A Charity Blvd. Toronto, ON M4G 2T2 Pay to the order of Bell Canada One hundred sixty-three dollars TD-CT 2544 Yonge St....

If the density of benzene, C6H6, is 0.879 g/mL, how many moles are present in 17.9 mL of benzene?

What is a disadvantage of Activity Based Costing ( ABC ) ? Group of answer choices ( A ) More accurate cost information leads to better decisions ( B ) The benefits may not outweigh the costs ( C )...

I need help with task 1, can anyone help me solve it? Task 1: Use PCA from previous assignment to convert data from 4D to 2D. If you did not manage to implement PCA, you can simply use first 2...