If letters of the word COMPUTER are randomly arranged in a row, what is the probability that the letters CO remain next to each
1 answer:
The probability that the letters CO remain next to each other (in order) as a unit is .
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty. It is more likely that an event will occur if its probability is higher.
When the letters are arranged randomly in a row, the total number of arrangements is 40,320 , and the number of arrangements with the letters CO next to each other (in order) as a unit is 5,040.
Therefore, possible outcomes = 5040 and
Total outcomes = 40320
Probability =
p =
Therefore, the probability that the letters CO remain next to each other (in order) as a unit is .
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Answer
Find out the Area of a triangle .
To proof
Formula
Area of Triangle
Now vertices are D(3, 3) , E(3, −1) , and F(−2, −5) .
Solving the above
= -10 units²
(Neglected the negative sign as area cannot be negative.)
= 10 units ²
Area of a triangle is 10 units ²
Hence proved
I hope this helps you
