Suppose the colors of balloons are Red, Green, Blue and Yellow. Then Carrie has the following options:
R-G-B
R-G-Y
R-B-Y
G-B-Y
Therefore, there are 4 different kinds of bundles.
<span>In the binomial experiment, the number of times the six-sided cube was rolled is the number of trials. Thus the number of trials for this binomial experiment is 12.
The formular for a binomial experiment is nCx (p)^x (q)^(n - x)
where: n is the number of trials, x is the success event, p is the probability of success, q is the probability of failure.</span>
The slope of Zane is 18.50/2 = 9.25
Subtract both slopes to find the true statement.
10.5 - 9.25 = 1.25
The correct statement is:
abrielle earns $1.25 more than zane.
Hope this helps :)
Answer:
a)
b)
Step-by-step explanation:
From the question we are told that:
Number Teachers 
Number Student 
Number in committee 
a) Generally the equation for exactly 3 students on the committee is mathematically given by
b) Generally the equation for at least one teacher and at least one student on the committee is mathematically given by
Total Ways-(no of ways of selection no teacher or student)
Where total Ways
Therefore
<span>65 = number of different arrangements of 2 and 3 card pages such that the total number of card slots equals 18. 416,154,290,872,320,000 = number of different ways of arranging 18 cards on the above 65 different arrangements of page sizes. ===== This is a rather badly worded question in that some assumptions aren't mentioned. The assumptions being: 1. The card's are not interchangeable. So number of possible permutations of the 18 cards is 18!. 2. That all of the pages must be filled. Since the least common multiple of 2 and 3 is 6, that means that 2 pages of 3 cards can only be interchanged with 3 pages of 2 cards. So with that said, we have the following configurations. 6x3 card pages. Only 1 possible configuration. 4x3 cards and 3x2 cards. These pages can be arranged in 7!/4!3! = 35 different ways. 2x3 cards and 6x2 cards. These pages can be arranged in 8!/2!6! = 28 ways 9x2 card pages. These can only be arranged in 1 way. So the total number of possible pages and the orders in which that they can be arranged is 1+35+28+1 = 65 possible combinations. Now for each of those 65 possible ways of placing 2 and 3 card pages such that the total number of card spaces is 18 has to be multiplied by the number of possible ways to arrange 18 cards which is 18! = 6402373705728000. So the total amount of arranging those cards is 6402373705728000 * 65 = 416,154,290,872,320,000</span>
