180 times 9 pls solve all the way through.
1 answer:
You might be interested in
The number of possibilities for constructing the 4 characters long password with specified conditions is given by: Option C: 703,040
<h3>What is the rule of product in combinatorics?</h3>If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in ways.
Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.
Thus, doing A then B is considered same as doing B then A
We're specified that:
- The password needs to be 4 characters long
- It must have 3 letters and 1 of 10 special characters.
- Repetition is allowed.
So, each of 3 characters get 26 ways of being 1 letter. (assuming no difference is there between upper case letter and lower case letter).
And that 1 remaining character get 10 ways of being a special character.
So, by product rule, this choice (without ordering) can be done in:
ways.
Now, the password may look like one of those:
- L, L, L, S
- L, L, S, L
- L, S, L, L
- S, L, L, L
where S shows presence of special character and L shows presence of letter.
Those 175760 ways are available for each of those four ways.
Thus, resultant number of ways this can be done is:
Thus, the number of possibilities for constructing the 4 characters long password with specified conditions is given by: Option C: 703,040
Learn more about rule of product here:
Answer:
The probability that a man in this age category does NOT die of cancer during the course of the year is 0.997.
Step-by-step explanation:
Suppose the probability of an event occurring is .
The probability of the given event not taking place is known as the complement of that event.
The probability of the complement of the given event will be,
In this case an events <em>X</em> is defined as a man, aged 55 - 59, will die of cancer during the course of the year.
The probability of the random variable <em>X</em> is:
Then the event of a man in this age category not dying of cancer during the course of the year will be complement of event <em>X, </em>denoted by<em> X</em>'.
The probability of the complement of event <em>X</em> will be:
Thus, the probability that a man in this age category does NOT die of cancer during the course of the year is 0.997.