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 mall developer surveyed 500 customers yesterday to learn

A mall developer surveyed 500 customers yesterday to learn what they go shopping for at the mall. 320 customers said they shopped for clothes. 295 customers said they went shopping for electronics. 175 customers said the ...

Last week at a festival a man sold 44 times as many

Last week at a festival, a man sold 44 times as many tie-dyed T-shirts as silk-screened shirts. He sold 190190 shirts altogether. How many tie-dyed shirts did he sell?

Work this custom problem about vector addition using the

Work this custom problem about vector addition using the techniques. Problem Add the following vectors: A = 398, θ A  = 174° and B = 272, θ B  = 328° Round Answer to nearest one decimal place and please show work and exp ...

Suppose an individual makes an initial investment of 2200in

Suppose an individual makes an initial investment of $2200in an account that earns6%, compounded monthly, and makes additional contributions of $100 at the end of each month for a period of 12 years. After these 12 years ...

The coordinate plane below represents a city points a

The coordinate plane below represents a city. Points A through F are schools in the city. graph of coordinate plane. Point A is at negative 3, negative 4. Point B is at negative 4, 3. Point C is at 2, 2. Point D is at 1, ...

You deposit 500 each month into an account earning 2

You deposit $500 each month into an account earning 2% interest compounded monthly. a) How much will you have in the account in 35 years? b) How much total money will you put into the account? c) How much total interest ...

1nbspyou deposit 6000 in an account earning 6 interest

1. You deposit $6000 in an account earning 6% interest compounded monthly. How much will you have in the account in 10 years? 2. You deposit $3000 in an account earning 8% interest compounded  continuously . How much wil ...

A hospitals revenue in millions of dollars is projected to

A hospital's revenue (in millions of dollars) is projected to be R(x) = 9x2 + 7x + 81 and its costs (in millions of dollars) are projected to be C(x) = -2x2 - 10x - 14 where x represents the number of years into the futu ...

List three benefits of distance learning programs explain

List three benefits of distance learning programs. Explain how they are beneficial to the organizations allowing their employees to partake in them.

Suppose a survey of 861 college students showed that 63

Suppose a survey of 861 college students showed that 63% said that they worked at least part-time during each semester. Find the 95% confidence interval for the true population proportion. 56.2% to 69.8% 54.4% to 71.6% 5 ...

  • 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

WalMart Identification of theory and critical discussion

Drawing on the prescribed text and/or relevant academic literature, produce a paper which discusses the nature of group

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