(r+n-1)! Solve the following problems using the formula (r + n − 1r) = r!(n-1)! 3. The jar of change contains: pennies, nickels, • • dimes, and quarters. If you grab three coins from the jar of change, how many different combinations of coins are possible?

Q: a3 − 8a2 + 16a − 5) ÷ (a − 5)

A:

Q: What is the product of the following? (x-5)2 O x2 – 10x + 25 O x2 + 10x + 25 O 22 – 25 O a2 + 25x –…

A: From the given problem: x-52 Now we can write as: x-52=x-5·x-5 Applying the distributive property:…

Q: n Ashwin. After Ashwin gave 210 sweets to Clifford, Clifford had 2/3 as many sweets as Ashwin. How…

A: Let, The number of sweets Ashwin had, = x. Now, If Clifford had 80% fewer sweets than Ashwin.  The…

Q: ?+4?=6−2?+?=−3{x+4y=6−2x+y=−3

A:

Q: Consider a cookie recipe in which 1 1/2 cups of chocolate chips are needed to make 25 cookies. Lara…

A: Given,

Q: Stephan and Switzer had some magnets for sale. Stephan sold 56 magnets and he had 2/9 of the magnets…

A:

Q: (n+14)2

A: Given expression is,

Q: What is the answer to C(n, n-r+1)

A: The formula of the combination is given by: Crn=n!r!  n-r!

Q: Jeff bought a box of bundt cakes containing a total of 288 pieces of chocolate bundt cakes and…

A: Jeff bought a box of bundt cakes containing a total of 288 pieces of chocolate bundt cakes and…

Q: A and B are two positive integers. A and B are consecutive If the product of A and B is 4290, then…

A:

Q: Simplify the following expression: (6n4 – 2n2 + 4) – (7nª + 3 + 8n) + 8n - -n4 – 2n2 + 16n -n4 – 2n2…

A:

Q: Find the unknown variable: C(n+1, 7) = O! Your answer

A: Value of n

Q: Jordan went to the store and bought 5 subs for himself and his 4 friends. Each person only ate 2/3…

A: From the given information, it is observed that the number of persons is 5 and the number of subs…

Q: Victor is ordering pizzas for a party he would like to have 1/4 of a pizza for each guest he can…

A: Given that Victor expects 27 guests. He would  like to have 14 of a pizza for each guest .

Q: Aidan was playing a video game at the arcade, which cost a quarter to play. In the game, you score…

A: Given that the score of Aldan is 180 points after using his last quarter. The scores for different…

Q: en people split up into five groups of two each.  In how many ways can this be done?

A: We can answer the question as below.

Q: (-1)n+13n (b) n5n n=1

A:

Q: John had some stamps. He gave 1/4 of his stamps to Sally and 10 stamps to Kate. He then gave 1/2 of…

A: Let John had x stamps. He gave 1/4 of his stamps to Sally. So Sally received total x4 stamps. He…

Q: 3"-1 En=1 97-1 Find the sum of 00 -1

A:

Q: Suppose the value of a car V is related to the number of years since its purchase by the formula V =…

A: Here the value of car  is given V = 25000-2100n After 5 year then n = 5

Q: Can this problem be solved by subtracting-? If so, explain why. If not, explain why not and solve…

A: The answer is no, we can't solve the problem by subtracting 23-12.

Q: if x+5 = 12, then x=7what is the property?

A: Given that: x + 5 = 12

Q: Make n the subject of the equation s=n/2 (2a+(n-1)d)

A:

Q: For this problem, assume that all the odd numbers are equally likely to come up, all the even…

A:

Q: I'm understanding the formula n/(n-r)r but not sure how it ended up as 5×4×3×2 over 2×3. So far all…

A: Calculate the factorial of 5! = the number of ways to arrange all 5 letters. 5! = 5 × 4 × 3 × 2 × 1…

Q: Explain How does = K/K+1)/2K+1) + / K+ 1)² = + (K+1) (2K² + K +6K+6) to me:

A:

Q: why do we use the formula a+(n-1)d instead of the arithmetic formula a+nd?

A: In arithmetic sequences, each term is obtained by adding a fixed difference, d​, to the previous…

Q: (3a − 8)2

A: Given query is to simplify the expression.

Q: 11. John had 72 more mangoes than oranges. After selling of the mangoes and of the oranges, he was…

A: Let us suppose that the number of oranges he has is x Since the number of mangoes is 72 more than…

Q: How do you decide that k is greater than or equal to 2, and k+1 is greater than or equal to 3?

A:

Q: There were some students in the school hall. (a) At first, the number of boys was 1/4 the number of…

A: first we will form the equations corresponding to the given statements then by solving these…

Q: If n(A U B) = 20, n(A N B) = 3, and n(B) = 13 , what is n(A) ? Your answer

A:

Q: (n³+7n² +14n +3) (n+2)

A: We have to solve above question and find quotient

Q: (n-2) x m ( it's multiplication between parentheses and m) when n=5 and m=9

A: We have to find  (n - 2) × m , when n=5 & m = 9

Q: what is 2(p+4)=2

A: Step 1:  2(p+4)=2 Step 2: 2p+8=2 Step 3: 2p=2-8 Step 4: 2p=-6 Step 5:  p=-6/2 Step 6: p= -3

Q: Solve the following problems using the formula (r + n - 1r) = - (r+n-1)!/ r!(n-1)!  A bin of golf…

A: We solve using the binomial coefficient. The detailed answer typeset in LaTEX is given in step 2.

Q: N k=1 (4k+1) (4k + 1) = 324

A:

Q: Another way to calculate the menu number is 13+23+ 33 + ... + n3. Can you validate both methods for…

A: Menu number is calculated in two possible ways. We have to prove that it is same in both the…

Q: While three soldiers guarding an orchard, a theif came in and stole come apples. On his way out, he…

A: Given that While three soldiers guarding an orchard, a theif came in and stole come apples. On his…

Q: n + 2 < −2

A: Given n+2&lt;-2