+1-415-315-9853

info@mywordsolution.com

 Algebra Math Calculus Physics Chemistry Biology Earth Science Physiology History Humanities English Sociology Nursing Science

Home >> Math

1. Four different written driving tests are administered by the city. One of these tests is chosen at random for each applicant for a driver’s license. If a group of 2 women and 4 men apply, find out the number of ways:

(a) Exactly 3 of the 6 people will take the same test.

(b) The 2 women take the same test.

(c) All 4 men take different tests.

2. How many binary strings (strings of 0s and 1s) hold exactly five 0s and 14 1s if every 0 must be immediately followed by two 1s?

3. In how many ways can 6 men and 4 women sit down around the circular table?

(a) With no restrictions?

(b) If women can’t sit directly next to each other?

(c) If all 6 men should sit consecutively?

4. Consider passwords consisting of a string of 4 characters, each selected from (A, B, C, D, E, F, G).

(a) How many passwords have at least one A if repetition of characters is not allowed? An ex of such a password is BAGF.

(b) How many passwords have at least one A if repetition of characters is allowed? An ex of such a password is BAAF.

(c) How many passwords are there if consecutive characters cannot be identical, but repetition of characters is allowed? An ex of such a password is ABAF.

(d) How many passwords have exactly two As if repetition is allowed?

5. Let A = (1, 2, 3, 4, 5, 6) and B = (1, 2, 3, 4, 5, 6, 7, 8). How many binary relations from A to B contain the ordered pair (2, 5) but do not include the ordered pair (3, 3)? How many of the binary relations that you counted are also functions?

• Category:- Math
• Reference No.:- M91392

Have any Question?

## Related Questions in Math

### A national caterer determined that 37 of the people who

A national caterer determined that 37% of the people who sampled their food said that it was delicious. A random sample of 144 people is obtained from a population of 5000. The 144 people are asked to sample the caterer' ...

### For this discussion board you will each take the role of

For this discussion board, you will each take the role of teacher. You will each choose ONE of the following rules or properties of exponents and teach it to the class (i.e., explain it in your own words and give an exam ...

### In 2013 devon and mandy were married and filling their

In 2013, Devon and Mandy were married and filling their taxes jointly. They had no dependent children and were claiming the standard deduction. Calculate their federal income tax for 2013 knowing that their adjusted gros ...

### There were 244 tickets purchased for a major league

There were 244 tickets purchased for a major league baseball game. The lower box tickets cost \$12.50 and the upper box cost \$10.00 The total amount of money spent was \$2517.50 How many of each kind of ticket were purchas ...

### Prove that the core is a convex setthat is show that for

Prove that the core is a convex set. That is, show that for any two imputations x, y in the core of a coalitional game (N; v), and for all α ∈ [0, 1], the imputation αx + (1 - α)y is also in the core of the game (N; v).

### 1 show that when you apply node splitting to a nonreducible

1. Show that when you apply node splitting to a nonreducible ow graph, and then perform T1-T2 reduction on the resulting split graph, you wind up with strictly fewer nodes than you started with. 2. What happens if you ap ...

### Applying key skillsnbspplease respond to the

"Applying Key Skills" Please respond to the following: Describe the key skills you learned in this course. Explain how you expect to use those skills in your future academic, personal, and / or professional life. Recomme ...

### Let s d isin f be a bargaining game denote by x2nbsp gx1

Let (S, d) ∈ F be a bargaining game. Denote by x 2  = g(x 1 ) the equation defining the north-east boundary of S. Prove that if g is strictly concave and twice differentiable, then the point x∗ = N (S, d) is the only eff ...

### Geometry math discussion questionspart 1 discussion

Geometry Math Discussion Questions Part 1 DISCUSSION QUESTIONS 1. Triangle LMP has coordinates L (3,4), M (6,6), and P (5, 5). A translation maps point L to L' at (7, -4). Find the coordinates for M', and for P', for thi ...

### An organization determines that the cost per person of

An organization determines that the cost per person of chartering a bus is given by the formula Cx=(250+7x)/x where x is the number of people in the group and C(x) is in dollars. Find a formula for the inverse of this fu ...

• 13,132 Experts

## 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.

### 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