A combination is an unordered arrangement of r distinct objects in a set of n objects. To find the number of permutations, we use the following equation:
n!/((n-r)!r!)
In this case, there could be 0, 1, 2, 3, 4, or all 5 cards discarded. There is only one possible combination each for 0 or 5 cards being discarded (either none of them or all of them). We will be the above equation to find the number of combination s for 1, 2, 3, and 4 discarded cards.
5!/((5-1)!1!) = 5!/(4!*1!) = (5*4*3*2*1)/(4*3*2*1*1) = 5
5!/((5-2)!2!) = 5!/(3!2!) = (5*4*3*2*1)/(3*2*1*2*1) = 10
5!/((5-3)!3!) = 5!/(2!3!) = (5*4*3*2*1)/(2*1*3*2*1) = 10
5!/((5-4)!4!) = 5!/(1!4!) = (5*4*3*2*1)/(1*4*3*2*1) = 5
Notice that discarding 1 or discarding 4 have the same number of combinations, as do discarding 2 or 3. This is being they are inverses of each other. That is, if we discard 2 cards there will be 3 left, or if we discard 3 there will be 2 left.
Now we add together the combinations
1 + 5 + 10 + 10 + 5 + 1 = 32 choices combinations to discard.
The answer is 32.
-------------------------------
Note: There is also an equation for permutations which is:
n!/(n-r)!
Notice it is very similar to combinations. The only difference is that a permutation is an ORDERED arrangement while a combination is UNORDERED.
We used combinations rather than permutations because the order of the cards does not matter in this case. For example, we could discard the ace of spades followed by the jack of diamonds, or we could discard the jack or diamonds followed by the ace of spades. These two instances are the same combination of cards but a different permutation. We do not care about the order.
I hope this helps! If you have any questions, let me know :)
Answer:
first one : (7+12+3+4+4+8)*2=76
Answer:
So, the relationship with i hours as the indecent variables would be
Serena can't paint 400 square feet of wall space of wall space in 3.5 hours.
Step-by-step explanation:
Since we have given that
Area that she can paint = 60 square feet
Time taken = half hour = 30 minutes = 0.5 hours
Using "Unitary method, we get that
In 0.5 hours, she can paint = 60 square feet
In 1 hour, she can paint =
In i hours, she can paint =
Let the total area she can paint be 'y'.
So, the relationship with i hours as the indecent variables would be
Now, Can Serena paint 400 square feet of wall space i. 3.5 hours
We put y = 400 and i = 3.5 hours to check whether it is equal or not.
Hence, Serena can't paint 400 square feet of wall space of wall space in 3.5 hours.
Answer: The correct answer would be that she pays her bills on time and has a lower amount of debt because her credit score are 720 which is considered a good payment point.
Explanation: The correct answer would be that she pays her bills on time and has a lower amount of debt because her credit score is 720 which is considered a good payment point.
Explanation: Credit score is known as CIBIL. By this credit, score banks gauge the creditworthiness of a person. The data listed in our credit report CIBIL generate our credit score.
A person's credit history is submitted to CIBIL by banks and other financial institutions on a particular basis.
For example, if a person has a credit score of 600 then that person cannot be considered a good creditor. In this case, the bank doesn't lend him .
Step-by-step explanation:
Let's solve your equation step-by-step.
2(x+2)−3(x−3)=x+7
Step 1: Simplify both sides of the equation.
2(x+2)−3(x−3)=x+7
(2)(x)+(2)(2)+(−3)(x)+(−3)(−3)=x+7(Distribute)
2x+4+−3x+9=x+7
(2x+−3x)+(4+9)=x+7(Combine Like Terms)
−x+13=x+7
−x+13=x+7
Step 2: Subtract x from both sides.
−x+13−x=x+7−x
−2x+13=7
Step 3: Subtract 13 from both sides.
−2x+13−13=7−13
−2x=−6
Step 4: Divide both sides by -2.
−2x
−2
=
−6
−2
x=3
Answer:
x=3
