Answer:
The number of ways to select 2 cards from 52 cards without replacement is 1326.
The number of ways to select 2 cards from 52 cards in case the order is important is 2652.
Step-by-step explanation:
Combinations is a mathematical procedure to compute the number of ways in which <em>k</em> items can be selected from <em>n</em> different items without replacement and irrespective of the order.

Permutation is a mathematical procedure to determine the number of arrangements of <em>k</em> items from <em>n</em> different items respective of the order of arrangement.

In this case we need to select two different cards from a pack of 52 cards.
- Two cards are selected without replacement:
Compute the number of ways to select 2 cards from 52 cards without replacement as follows:



Thus, the number of ways to select 2 cards from 52 cards without replacement is 1326.
- Two cards are selected and the order matters.
Compute the number of ways to select 2 cards from 52 cards in case the order is important as follows:




Thus, the number of ways to select 2 cards from 52 cards in case the order is important is 2652.
There can be 4 or 1 possible combinations of zeros
Answer:
d. 64
Step-by-step explanation:
x^2+16x
The coefficient of the x term is 16
Divide by 2
16/2 =8
Then square it
8^2 = 64
We add 64
x^2 +16x +64
(x+8)^2
Answer:
x = 1/3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define Equation</u>
8x - 3 = 2(x - 1/2)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distributive 2: 8x - 3 = 2x - 1
- Subtract 2x on both sides: 6x - 3 = -1
- Add 3 to both sides: 6x = 2
- Divide 6 on both sides: x = 1/3
Answer: the answer is x= -11.