Question: Prove each statement for positive integers n and r, with r n. C(n, 0) = 1

Prove each statement for positive integers n and r, with r ≤ n.

C(n, 0) = 1

Step by Step Solution

★★★★★

3.40 Rating (169 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Pnr rn n nr n ... View full answer

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 College Algebra Questions!

Q:

Use the dependency diagram shown in Figure 6.8 to work the following problems. a. Break up the dependency diagram in Figure 6.8 to create two new dependency diagrams, one in 3NF and one in 2NF. b....

Q:

Prove the statement for positive integers n and r, with r n. P(n, n - 1) = P(n, n)

Q:

Prove that for positive integers n 1,

Q:

Prove that for positive integers n 1,

Q:

Prove each statement for positive integers n and r, with r n. Explain why the restriction r n is needed in the formulas for C(n, r) and P(n, r).

Q:

Prove the statement for positive integers n and r, with r n. C(n, n - r) = C(n, r)

Q:

Prove the statement for positive integers n and r, with r n. P(n, 0) = 1

Q:

Prove the statement for positive integers n and r, with r n. P(n, 1) = n

Q:

Prove the statement for positive integers n and r, with r n. P(n, n) = n!

Q:

Prove the statement for positive integers n and r, with r n. C(n, n - 1) = n

Q:

need help with the following 3 problems Problem 1) A relation R on the set of integers is given as follows: R = {(x, y) such that x ? 3y ? 1}. Answer the following questions, and explain your...

Q:

Calculate the specific gravity and the z-factor for the following gas mixture at pressure of 340 psia and temperature of 200 F: Component Mole Fraction Methane Ethane Propane Aregon 0.850 0.090 0.040...

Q:

Let X be N(,100). To test H0: = 80 against H1: > 80, let the critical region be defined by C = {(x1, x2, ... , x25) : x 83}, where x is the sample mean of a random sample of size n = 25 from this...

Q:

5.51 Independent? Suppose a person is chosen at random. Use your understanding of commercial vehicle driving to decide whether the event that the person holds a valid commercial driving license and...

Q:

1.Why did the Australian governments approach to deposit protection change from implicit to explicit deposit guarantees?

Q:

Determine the future value of each annuity. Ao = $10,000, i = 0.11, n = 5

Q:

It is possible for some kinds of bacteria to double their size and then divide every 40 minutes. (a) Write a recursive sequence that describes this growth where each value of n represents a 40-minute...

Q:

Determine the future value of each annuity. Ao = $500, i = 0.15, n = 10

Q:

Q.1 Your firm is contemplating the purchase of a new $720,000 million computer-based order entry system. The PVCCATS is $260,000, and the machine will be worth $280,000 at the end of the five-year...

Q:

A die is tossed. Find the odds against rolling a number greater than 1 The odds against rolling a number greater than 1 are (Simplify your answer.)

Q:

Bond Prices over Time and Bond Return You want to buy a Disney bond with four years until maturity and a coupon rate of 9.75% per year, paid semiannually. FED reports that the market interest rate...