Aski patrol unit has seven members available for duty, and two of them are to be sent to rescue an injured
skier. In how many ways can two of these seven members be selected?

Now suppose the order of selection is important. How many arrangements are possible in this case?

Answer:

36 non repeating, 72 repeating (AB=BA)

Step-by-step explanation:

There is a theoretical approach to solving this question. We have formulae for such types of question in ‘Permutation and Combination’ chapter but let me solve it through my approach.

There are 9 members in the unit.

we have to choose only 2 people out of them randomly.

let the members be A, B, C, D, E, F, G, H an, I

A can be chosen first with one of the rest as the second person.

Like AB, AC, AD, AE … AI ………………………(1)

by this, we can choose people in 8 ways.

we will also have 8 ways as BA, CA, DA, … IA ………..(2)

the series (2) is completely reverse of series (1)

now perform the same action taking B as first-person and people after B as the second person.

by this, we will have 7 ways

and 7 ways again in reverse mode.

The same process with C, D, E and other members

we get

8*2 = 16 ways with A

7*2 = 14 ways with B

6*2 = 12 ways with C

5*2 = 10 ways with D

4*2 = 8 ways with E

3*2 = 6 ways with F

2*2 = 4 ways with G

1*2 = 2 ways with H

and I can not be selected lonely because there is no person after I.

SO total ways = 16 + 14 +12 + 10 + 8 + 6 + 4 + 2 = 72 ways

72 will be the answer if the selection of A first and B second is different from the selection of B first and A second.

If AB = BA then the answer will be 72/2 = 36

(It is my approach and easier way for me than the traditional formulae)

Which number line model represents the expression -4+7.25

Mandy owns a brick house in the suburbs worth $125,000, and the contents
of the house are valued at $35,000. Use the table below to calculate her
annual property insurance premium.
Annual Premium per $100 of coverage
Brick
Steel
Mixed
Wood
Area
Building Contents Building Contents Building Contents Building Contents
rating
City 0.39 0.43 0.5 0.54 0.55
0 65
0.66 0.76
Suburb 0.45
0.52
0.56 0.63 0.72 0.74 0.83
0.85
Rural 0.6 0.69 0.71 0.8
0.89 0.91
1
1.02
A. $950.00
B. $744.50
C. $673.50
D. $706.50

2. Which equation can be used to determine what number, n, is 40% of 64?
0(40) (64) = n
040 : 64 =n
00.40(64) =n
O 64n = 0.40

pleased help meeeeeeeee

You are choosing between two health clubs. Club A offers membership fee of $16 plus a monthly fee of $23. Club B offers membership for a fee of $20 plus a monthly fee of $21. After how many months will the total cost of each health club be the same? What will be the total cost for each club?

find the missing length indicated

Hello, happy Friday, I am just here with some geometry questions.

Please only answer this if you know the answer. If you have a comment, please add it to the comment box. Only answer the question if you can explain your answer and why you think it is accurate. Thanks, good luck!

Be sure to show your answer and work using a coordinate plane.

The product of two consecutive integers is 23 more than seven times their sum. Find the integers.​

a bag contains 6 white marbles and 4 black marbles. a marble is drawn without replacing the first one. what is the probability of drawing a white marble on the first draw, followed by a white marble on the second?

Translate the verbal phrase below to an inequality statement:
The opposite of 10 is greater than the sum of twice a number and 5.

Help plz:)))I’ll mark u Brainliest

a and b pleaseeeee mathsssssss

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Help plz I’m suck at math

4.5 miles equal like how many yds???? Pls helpppp

Leticia has two bouquets of flowers. Each bouquet contains 6 daisies. • Bouquet S contains 30 flowers. • Bouquet T contains 12 flowers. Which statement is true? The probability of randomly selecting a daisy from Bouquet Sis 50% The probability of randomly selecting a daisy from Bouquet Tis 20% The probability of randomly selecting a daisy from Bouquet S is equal to the probability of randomly selecting a daisy from Bouquet T. The probability of randomly selecting a daisy from Bouquet S is less than the probability of randomly selecting a daisy from Bouquet T. PLS HELP ASAP​

A square and a rhombus both have two sets of parallel sides.

i need the selling price pls ty.​

9 × 2(3 + 5) – (10 × 12) = y

If you're given the points:
(4, 10) (8,9)
What are your y1, and y2?

A. y1= 9; y2= 10
B. y1= 4; y2= 8
C. y1= 10; y2= 9
D. y1= 8; y2= 4

NEED THIS ANSWER IN 5 MINS PLSGraph parabola functions

The 24/7 Truck Rental Company has been charging an initial rental fee of $29 plus $2.50 per hour for rental of their small trucks. After a change in pricing policy, the new fee will be $19 up front plus $3.25 per hour. After how many hours of renting the truck will the new plan be more expensive than the old plan

What is the ratio and percent of the rectangle below is shaded

A shopkeeper sold a dressing table for 7512.75 at a profit of 19*1/4% What was the cost price.​

park rangers released 4 fish into a pond,

The expression 42+57 shows how much money Nate spent at a store. Which expression also shows how much money Nate spent?
3(14+19)
3(14x19)
6(7+57)
6(7x57)

HELP
HELP
HELP
HELP
HELP
HELP

Can yall help me with the right answer

Which transformation of line segment AB would result in an image parallel to AB?

I really need help !!