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3 years ago

Suppose we went to choose 2 letters without replacement from 3 letters a b and c

Mathematics

1 answer:

vagabundo [1.1K]3 years ago

3 0

Answer:

6 ways - ab,ac, ba,bc and ca,cb

Step-by-step explanation:

We are given 3 letters a,b,c.

We can choose the first letter in 1 out of 3 ways.

Once the first letter has been chosen without replacement, we have two letters remaining. Another letter can be chosen from the 2 remaining letters in 2 ways. So the total number of ways of choosing the two letters is 3*2 = 6.

Listing out the possible set of choices:

Options include: ab,ac, ba,bc and ca, cb

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Answer:

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Step-by-step explanation:

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3 years ago

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Oksana_A [137]

The correct answer is b

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2 years ago

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In the game of Keno, a player starts by selecting 20 numbers from the numbers 1 to 80. After the player makes his selections, 20

DiKsa [7]

The percentage of winning if 20 winning numbers are randomly selected from numbers 1 to 80 is 12.48%.

Given There are 80 numbers from which 20 numbers are selected randomly in a game of Keno by player and after selection of 20 winning numbers again 20 numbers are selected and player wins if the player has correctly selected 3,4,or 5 of the 20 winning numbers.

Probability is the chance of happening an event among all the events possible.

Probability of winning is calculated as under:

Probability= $C(20,3)C(60,17)/C(80,20)$

We have taken C(20,3) because player will win if 5 numbers are selected from 20 winning numbers.

We have taken C(60,17) because after selection of 20 numbers 60 numbers will left from 80 and after winning from 3 numbers 17 numbers left and from total 80, 20 numbers are taken.

=C(20,3)C(60,17)/C(80,20)

=(20!/3!17! * 60!/17!43!)/80!/20!60!

=1140*387221678682300/35353161422121743200

=12.48%

Hence the probability of winning is 12.48%.

Learn more about probability at brainly.com/question/24756209

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2 years ago

The point (1, −1) is on the terminal side of angle θ, in standard position. What are the values of sine, cosine, and tangent of

mixer [17]

Notice the picture below

x = 1 and y = -1

now... recall your SOH CAH TOA $\bf sin(\theta)=\cfrac{y}{r}
\qquad 
% cosine
cos(\theta)=\cfrac{x}{r}
\qquad 
% tangent
tan(\theta)=\cfrac{y}{x}$

now.. what's the value for "r" or the radius? well, using the pythagorean theorem $\bf c^2=a^2+b^2\implies c=\sqrt{a^2+b^2}\qquad 
\begin{cases}
a=x\\
b=y\\
c=r
\end{cases}$

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3 years ago

The equation of a circle is (x−2)2+(y−16)2=169 .

ss7ja [257]

Hello!

The radius is the square root of the number right to the equal sign.

In this case that number is 169.

The square root of 169 is 13.

Hope this helped!

7 0

3 years ago