Answer:
a) 1820 ways
b) 43680 ways
Step-by-step explanation:
When the order of the choices is relevant we use the permutation formula:
is the number of different permutations of x objects from a set of n elements, given by the following formula.
When the order of choices is not relevant we use the combination formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this problem, we have that:
(a) How many ways can this be done, if the order of the choices is not relevant?
(b) How many ways can this be done, if the order of the choices is relevant?
The number each of the students are counting is 40.
Answer:
The quadratic equation has two complex solutions.
Step-by-step explanation:
5x² + 6x + 2 = 0
To know the the correct answer to the question, we shall determine the discriminant of the equation. This can be obtained as follow:
5x² + 6x + 2 = 0
ax² + bx + c = 0
Comparing the above equation, we can obtain:
a = 5
b = 6
c = 2
Discriminant (D) =?
D = b² – 4ac
D = 6² – (4 × 5 × 2)
D = 36 – 40
D = – 4
Since the discriminant of the equation is less than 0, it means that the equation has no real root ( i.e the equation has two complex solution).
https://www.varsitytutors.com/hotmath/hotmath_help/spanish/topics/graphing-linear-equations
Aquí hay un enlace que podría ayudar.
Draw a number line with 0 and 1 on it. Between these two values, divide the region into 6 equal smaller parts.
From 0 on the number line, count out 4 spaces until you arrive at 4/6 which reduces to 2/3.
See the diagram below.
