Ask Question, Ask an Expert

+1-415-315-9853

info@mywordsolution.com

Ask Math Expert


Home >> Math

problem 1: Let A be a nonempty set. Define the relation R on the nonempty subsets of A by (X; Y) ε R if and only if X ∩ Y ≠ Φ. Determine whether R is (i) reflexive, (ii) symmetric, (iii) antisymmetric, (iv) transitive.

problem 2: Let n = (abc)7. Show that n ≡ a + b + c (mod 6).

problem 3: Use congruences to prove that 4|32n   1 for all integers n ≥ 0.

problem 4: Let a0, a1, ..... be the sequence recursively defined by a0 = 1, and an = 3 + an-1for n ≥ 1.

a) Compute a1, a2, a3 and a4.
b) Guess a formula for an, n ≥ 0.
c) Use induction to prove that your formula is correct.

problem 5: Define a sequence bn by b0 = 5, b1 = 9, and bn = bn-1 + bn-2 for n ≥ 2.

Use strong induction to prove that bn < 5 . 2n for all n ≥ 1.

problem 6: Find the number of six-digit positive integers that can be formed using the digits 1, 2, 3, 4, and 5 (each of which may be repeated) if the number must begin with two even digits or with two odd digits.

problem 7: In a collection of 30 di§erent birds, 15 eat worms, 18 eat fruit, and 12 eat seeds. Exactly 8 eat worms and seeds, 8 eat worms and fruit, 7 eat fruit and seeds, and 4 eat all three types. Two birds are selected at random. What is the probability that:

a) both birds eat at least one of these food groups?
b) both eat at least one common food group?
c) both eat all three food types?

problem 8: How many ways can six men and three women form a line if no two women may stand behind each other?

Math, Academics

  • Category:- Math
  • Reference No.:- M91150

Have any Question? 


Related Questions in Math

A population of beetles are growing according to a linear

A population of beetles are growing according to a linear growth model. The initial population (week 0) is P0=5, and the population after 9 weeks is P9=104. Find an explicit formula for the beetle population aftern n wee ...

Balanced scorecard analysis and strategic plan

Balanced Scorecard Analysis and Strategic Plan Resources Balanced Scorecard Analysis and Strategic Plan Scoring Guide. iGuide: ePortfolio. APA Style and Format. This assignment is the culmination of your work in previous ...

The polynomial gx-006x4nbsp140x3-53x2179xnbspmeasures the

The polynomial G(x)=-.006x 4  +.140x 3 -.53x 2 +1.79x measures the concentration of a dye in the bloodstream x seconds after it is injected. Does the concentration increase between 10 and 11 seconds?

Your goal is to describe the details of a more-or-less

Your goal is to describe the details of a more-or-less feasible business in the renewable energy or more general sustainability sector. Do not propose a major enterprise: propose something that is feasible (or close to f ...

According to a national poll of 350 college students 53

According to a national poll of 350 college students, 53% play video games more than 6 hours a week. Find the margin of error and the 95% confidence interval for the survey. Give your answers as percentages rounded to th ...

Suppose 2400 is invested in an account at an annual

Suppose $2,400 is invested in an account at an annual interest rate of 6.5% compounded continuously. How long (to the nearest tenth of a year) will it take the investment to double in size?

1 which is the better deal 10000 invested at 5 compounded

1 . Which is the better deal, $10,000 invested at 5%, compounded yearly, for 20 years, or $5,000 invested at 10%, compounded continuously, for 20 years? 2. What must be invested today, to be worth $20,000 in 10 years, if ...

A concession stand at a sports stadium sells 600 bags of

A concession stand at a sports stadium sells 600 bags of peanuts (each game) if $4.00 is charged per bag. For each $0.25 increase in price, 30 fewer bags are sold. At what price should the peanuts be sold in order to max ...

This week you have studied the graphs of rational functions

This week you have studied the graphs of rational functions and in particular asymptotes. In photography fixed focal length means that the focal length is not adjustable. Photographers are unable to zoom in and out on a ...

Mpl project- pharmaceutical clinical trial distribution a

MPL Project- Pharmaceutical Clinical Trial Distribution A pharmaceutical company, named "LongerLife", plans to deliver clinical trials to three different clinics (C1, C2, and C3). The trials are used for the emergency tr ...

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

Section onea in an atwood machine suppose two objects of

SECTION ONE (a) In an Atwood Machine, suppose two objects of unequal mass are hung vertically over a frictionless

Part 1you work in hr for a company that operates a factory

Part 1: You work in HR for a company that operates a factory manufacturing fiberglass. There are several hundred empl

Details on advanced accounting paperthis paper is intended

DETAILS ON ADVANCED ACCOUNTING PAPER This paper is intended for students to apply the theoretical knowledge around ac

Create a provider database and related reports and queries

Create a provider database and related reports and queries to capture contact information for potential PC component pro

Describe what you learned about the impact of economic

Describe what you learned about the impact of economic, social, and demographic trends affecting the US labor environmen