There are 720 total different combinations, and 24 of those will have the letters DAY consecutively within all those combinations.
<u>Explanation:</u>
FRIDAY is a six letter word.
To form all combinations of letters, we would have six choices of letters to fill the first spot. Whatever letter you choose for the first spot, you then have five choices of letters to fill the second spot. Four choices of letters to fill the third spot. And so on.
So, the total number of different combinations of the six letters would be 6!
6! = 6 X 5 X 4 X 3 X 2 X 1
= 720
DAY could appear consecutively starting in 4 different spots: the 1st, 2nd, 3rd, and 4th spots of all combinations. DAY will appear consecutively 6 times in each of those 4 starting spots.
6 X 4 = 24.
So, there are 720 total different combinations, and 24 of those will have the letters DAY consecutively within all those combinations.
Total number of chips = 4+ 6 = 10
Number of white chips = 4
Probability of picking a white chip =

This white chip is not replaced back into the bag. This will reduce the number of white chips in the bag by 1 and reduce the total number of chips in the bag by 1.
So, now the total number of chips in the bag = 3 + 6 = 9
Number of white chips in the bag = 3
Probability of picking a white chip =

Thus, the probability of picking two white chips will be =
Therefore, option B gives the correct answer.
The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try!
Answer:
You have to translate these sentences into expressions. I am not going to solve all of these because if I explain one/two problems to you, you'll get the hang of it. Seven more than three times a number: 7+3x; Five times a number decreased by six: 5x-6
Step-by-step explanation:
Why? We don't know what number that is, so we can put any variable like (x, y, z, a, b, etc.). Three times a number is simply that number times 3. In this case we would input: 3*x, or 3x. 7 more than that number is 3x+7. Five times a number decreased by six: 5x-6 . Remember: it is simply 5*x which simplifies to 5x. Decreased is take away, so take away 6, and get 5x-6
Key words: Quotient: the result after dividing two/or more numbers; Product: the result after multiplying two/ or more numbers; Decreased: take away (Example: x decreased by 7=x-7)
I hope you understand!! It is very simple after you start to get the hang of it!!
Answer:
A standard deck of 52 playing cards contains four of each numbered card 2–10 and four each of aces, kings, queens, and jacks. Two cards are chosen from the deck at random.
Which expression represents the probability of drawing a king and a queen?
StartFraction (4 P 1) (3 P 1) Over 52 P 2 EndFraction
StartFraction (4 C 1) (3 C 1) Over 52 C 2 EndFraction
StartFraction (4 P 1) (4 P 1) Over 52 P 2 EndFraction
StartFraction (4 C 1) (4 C 1) Over 52 C 2 EndFraction
it is D
Step-by-step explanation: