Using the permutation formula, it is found that there can be 600 winning combinations.
There are roles involved(president, vice-president, secretary and treasures), hence the order is important and the <em>permutation formula</em> is used.
<h3>What is the permutation formula?</h3>
The number of possible permutations of x elements from a set of n elements is given by:
In this problem:
- For president and vice-president, 2 students are chosen from a set of 6.
- For secretary and treasurer, 2 students are chosen from a set of 5.
Hence:
There can be 600 winning combinations.
More can be learned about the permutation formula at brainly.com/question/25925367
This is the concept of probability, we are required to calculate for the probability of rolling a 4 with a single die four times in a row;
To solve this we proceed as follows;
The probability space of a die is x={1,2,3,4,5,6}
The probability of a die falling on any of this number is:
P(x)=1/6
Thus the probability of rolling a 4 with a single die four times which makes up mutually exclusive events will be:
1/6*1/6*1/6*1/6
=(1/6)^4
=1/1296
The answer is B] 1/1296
<span>The input of days results in the output of total collected books. On day 1, 8 books were collected. Both inputs for days 2 and 3 have the same output of 13, meaning that no books were collected for day 3. After 5 days, 21 books were collected. The most books were collected on day 5.</span>
It has to be red since there are the most red marbles in the bag
Answer:
x = 13/8
Step-by-step explanation:
sqrt(8x-4) +8 = 11
Subtract 8 from each side
sqrt(8x-4) +8-8 = 11-8
sqrt(8x-4) =3
Square each side
(sqrt(8x-4))^2 =3^2
8x-4 = 9
Add 4 to each side
8x-4+4 = 9+4
8x = 13
Divide by 8
8x/8 = 13/8
x = 13/8