Show that (k!)! is divisible by k!(k1)!.

Question:

Show that (k!)! is divisible by k!(k−1)!.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Introduction To Mathematical Statistics And Its Applications

ISBN: 9780321693945

5th Edition

Authors: Richard J. Larsen, Morris L. Marx

See More Books

Question Posted: Dec 20, 2015 03:09 AM

See More Questions

(Feller14) A large number, N, of people are subjected to a blood test. This can be administered in two ways: (1) Each person can be tested separately, in this case N test are required, (2) the blood...
(Feller14) A large number, N, of people are subjected to a blood test. This can be administered in two ways: (1) Each person can be tested separately, in this case N test are required, (2) the blood...
Show that a positive integer is divisible by 3 if and only if the sum of its decimal digits is divisible by 3?
14. The molecule that has formula C,H, with 2 sp C's, 2 sp C's, and 1 sp C and chiral isomer is H CH3 CH3 (a) (c) H H HC H C=C=C CH 3 C=C=C H CH3 (b) (d) HC=C H HCCC=C CH3 H CHCH3
Four members from a 20-person committee are to be selected randomly to serve as chairperson, vice-chairperson, secretary, and treasurer. The rst person selected is the chairperson; the second, the...
As part of its initiative to implement just-in-time (JIT) manufacturing at the motorcycle assembly plant in Exercise 1, Harley has reduced the number of engines loaded on each truck to 100. If each...
Four streams are to be cooled or heated: (a) For $\Delta T_{\text {min }}=10^{\circ} \mathrm{C}$, find the minimum heating and cooling utilities. What are the pinch temperatures? (b) Design a heat...
Cunningham Products is evaluating five possible locations to build a distribution center. Data estimated from the accounting department are provided below. The annual production is estimated to be...
x- y 5. (5) Let f(x, y) = a. Sketch the level curve of f where z = 0. b. Use one path to come up with a conjecture for the following limit and then use the epsilon-delta definition of a limit to...
Two signals m1 (t) and m2(1), both band-limited to 5000 Hz, aretobetransmitted simultaneously over a channel by the multiplexing scheme shown in Fig. P4.2-8. The signal at point b is the multiplexed...
Imagine six points in a plane, no three of which lie on a straight line. In how many ways can the six points be used as vertices to form two triangles? (Hint: Number the points 1 through 6. Call one...
In how many ways can the letters of the word B R O B D I N G N A G I A N be arranged without changing the order of the vowels?
In Exercise, (a) Determine the measure of an interior angle of the named regular polygon. (b) If a side of the polygon is extended, determine the supplementary angle of an interior angle. Octagon
Watch the video Positive Leadership: Strategies for Extraordinary Performance. Kim Cameron is a management professor at the University of Michigan who researches leadership that creates positive...
A student addresses a bully mocking another student, " what you're doing isn't even clever or funny, everyone has a right ti express who they are.. you know like we say every morning.. liberty and...
Identify errors in the following program segment and rewrite the correct statements. #include int main() ( integer x, total, y; x = y; print ("Enter the value for x:"); scanf("%d", total); total...
How do you print the first value in a tuple called aVar?
Do you think the leader is successful and why? Where are areas he/she can improve and why? General Motors is a world famous automobile manufacturing company headquartered in the United States. One of...
Write inequalities to describe the set. The upper hemisphere of the sphere of radius 1 centered at the origin
Using the parallel-axis theorem, determine the product of inertia of the area shown with respect to the centroidal x and y axes. 6 in. 9 in. 9 in- 4.5 in. in. 4.5 in.
Use rules of inference to show that the hypotheses "Randy works hard," "If Randy works hard, then he is a dull boy," and "If Randy is a dull boy, then he will not get the job" imply the conclusion...
What rules of inference are used in this famous argument? "All men are mortal. Socrates is a man. Therefore, Socrates is mortal."
For each of these collections of premises, what relevant conclusion or conclusions can be drawn? Explain the rules of inference used to obtain each conclusion from the premises. a) "If I take the day...
According to Investopedia, the weekend effect is a phenomenon in financial markets in which stock returns on Mondays are often significantly lower than those of the immediately preceding Friday....
John and Jane Doe are both 40 years old with two children, ages 12 and 10. John is an assistant principal making $80,000 per year. He has been in the same school district for over 10 years, working...
What are the estimated share prices for all four companies in Q3-5? A table summarizing your findings is useful. The summary table here demonstrates our collective share prices for all four...

Show that (k!)! is divisible by k!(k1)!.

Question:

Step by Step Answer:

Consider k objects categorized into ...View the full answer

Introduction To Mathematical Statistics And Its Applications

Students also viewed these Statistics questions