Answer:
Letters can be chosen in 12 different ways, if order matters, or 6 different ways, if order doesn't matter.
Step-by-step explanation:
Since we want to choose 2 letters, without replacement, from the 4 letters A, B, C, and D, to determine in how many ways can this be done, if the order of the choices matters, and in how many ways can this be done, if the order of the choices does not matter, the following calculations must be performed:
If order matters =
(4 x 3 x 2 x 1) / 2 = X
24/2 = X
12 = X
If the order doesn't matter =
12/2 = X
6 = X
Therefore, letters can be chosen in 12 different ways, if order matters, or 6 different ways, if order doesn't matter.
Answer:
Step-by-step explanation:
If binomial (3x+2) is a factor of some polynomial, then number is this polynomial's root. Check all polynomials:
6x^3+3x^2+4x+2
Answer:
Heredity is the passage of traits from parent to offspring.
Heredity material is also known as DNA.
Heredity is responsible for traits such as eye color and skin color.
Step-by-step explanation:
Answer:
1 / 5040
Step-by-step explanation:
The number of ways that 7 basketball players can be arranged is 7! = 5040. Only one of these arrangements is alphabetical. So the probability is 1/5040.
9514 1404 393
Answer:
{587, 1}
Step-by-step explanation:
The sum will be minimized when the second number is as close to zero as is allowed. If the numbers must be positive integers, the sum is minimized when the numbers are {587, 1}.
If the numbers may be real numbers, then the values that minimize the sum are {588-, 0+}
_____
The "cost" of taking a unit from the sum 588 and assigning it to the second number is that the sum of first and 3 times the second goes up by 3. In order to minimize that sum, the second number must be minimized.
