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sammy [17]
3 years ago
12

The letters of the word STAR are written on individual cards. If you always choose three cards and then put them back before the

next set of three cards, how many different permutations will you have?
List all the different permutations in the space provided.
Mathematics
1 answer:
Svet_ta [14]3 years ago
8 0

Answer:

24

Step-by-step explanation:

There are 4 possibilities for the first card.

After that, there are 3 possibilities for the second card.

Finally, there are 2 possibilities for the third card.

The total number of permutations is 4×3×2 = 24.

Here's the list (in alphabetical order):

ARS

ART

ASR

AST

ATR

ATS

RAS

RAT

RSA

RST

RTA

RTS

SAR

SAT

SRA

SRT

STA

STR

TAR

TAS

TRA

TRS

TSA

TSR

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Answer:

first 7 then 5 and 27.5

Step-by-step explanation:

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Teddy uses 2.5 gallons of ice to fill 4 buckets. He needs to 30 buckets.how many gallons of ice will teddy need
Ghella [55]

Answer:

18.75 gallons of ice

Step-by-step explanation:

I divided the 2.5 gallons of ice by the number of buckets (4) it filled to determine how many gallons of ice are in each bucket.

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I then multiplied the amount of ice it takes to fill a bucket (0.625) by 30 buckets to get 18.75 gallons of ice.

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3 years ago
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In a bag of m&m's there are 5 brown 6 yellow 4 blue 3 green and 2 orange. What's the probability of getting 3 yellow m&m
olasank [31]
There are 5+6+4+3+2=20 m&m's in the bag.
Calculate in how many ways you can choose 3 m&m's from 20:
_{20} C _3=\frac{20!}{3!(20-3)!}=\frac{20!}{3! \times 17!}=\frac{17! \times 18 \times 19 \times 20}{6 \times 17!}=\frac{18 \times 19 \times 20}{6}=3 \times 19 \times 20= \\
=1140

There are 6 yellow m&m's.
Calculate in how many ways you can choose 3 m&m's from 6:
_6 C _3 = \frac{6!}{3!(6-3)!}=\frac{6!}{3! \times 3!}=\frac{3! \times 4 \times 5 \times 6}{3! \times 6}=\frac{4 \times 5 \times 6}{6}=4 \times 5=20

The probability is the number of ways of choosing 3 m&m's from 6 m&m's divided by the number of ways of choosing 3 m&m's from 20 m&m's.
P=
\frac{20}{1140}=\frac{20 \div 20}{1140 \div 20}=\frac{1}{57}

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4 0
3 years ago
You own a portfolio that is invested 43 percent in stock a, 16 percent in stock b, and the remainder in stock
docker41 [41]

Multiply the investment fraction by the corresponding return, and add the products. The given fractions add to 59%, so the remainder is 41%. (The total of the fractions is 100%—all of the portfolio.)

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3 years ago
The volume v of a gas kept at constant temperature varies inversely with the pressure p. If the pressure is 24 pounds per square
daser333 [38]

Answer:

V=12\ ft^{3}

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form y*x=k or y=k/x

In this problem

P*V=k

step 1

Find the value of K

For P=24\ psi ,V=15\ ft^{3}

substitute

24*15=k

k=360

the equation is P*V=360

step 2

For P=30\ psi ,V=\ ft^{3}

substitute in the equation

(30)*V=360

V=360/30=12\ ft^{3}

5 0
3 years ago
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