We have been given in a cohort of 35 graduating students, there are three different prizes to be awarded. We are asked that in how many different ways could the prizes be awarded, if no student can receive more than one prize.
To solve this problem we will use permutations.

We know that formula for permutations is given as

On substituting the given values in the formula we get,


Therefore, there are 39270 ways in which prizes can be awarded.
The mathematical answer would happen to be... 0
Answer:
White roses - 7
Red roses - 17
Step-by-step explanation:
Set up proportional equations
White roses = x
Red roses = 3x - 4
Set equal to 24
x + 3x - 4 = 24
4x - 4 = 24
4x = 28
x = 7
x is white roses, so there are 7
Plug x value into red rose equation
3(7)-4
21-4 = 17 red roses
Check
17+7 = 24
Answer:
there are no solutions if two linear equations are parallel to each other.
*B. no sloution
The measure of a triangle is 180 degrees. In other words the sum of the angles of a triangle is 180 degrees
To solve for x set all of the expressions of angles equal to 180 and isolate x
11x - 3 + 7x + 5 + 13x - 8 = 180
31x + (- 6 + 6) = 180 + 6
31x/31 = 186 / 31
x = 6
To find the measure of each angle plug 6 into the x into each individual expression
Hope this helped!