Finding this numbr is equvalent to place 60 balls and 5 sticks in a row such that no two sticks are places adjacently (sticks are the + signs and if there are two adjacent + signs then the xi between these + signs will be 0).
SO there are 60 balls so 59 gaps in between them so 5 sticks can be laced in these 59 places in (59 C 5)= 59*58*57*56*55/120= 5006386 ways.
Counting Distributions. (a). How many solutions are there to the equation 1 + 12 +13 + 14 = 20 if ni, ng, 13, 14 are nonnegative integers and na 4? (b). How many ways are there to give 13 (identical) red pencils and 15 (identical) blue pencils to 11 (different) students? (c). What if each student needs at least 1 pencil of each color?
PLEASE DO BOTH (9) (5 pts) How many solutions are there to the inequality 11 +*2+I3 <11, where 21, 22, and 13 are non-negative integers? Hint: Introduce an auxiliary variable In such that 21+12+13+14 = 11. (10) (5 pts) How many terms are there in the expansion of (2x + 3y + 5z)50?
QUESTION 1 How many addresses were scanned with the command nmap –v –sn 155.6.3.0/24? QUESTION 2 How many machines were “up” in the nmap –v –sn 155.6.3.0/24 scan? QUESTION 3 How many addresses were scanned with the command nmap –v –sn 155.6.4.0/24, i.e., the Services network? QUESTION 4 How many machines were “up” in the nmap –v –sn 155.6.4.0/24 scan? QUESTION 5 How many addresses were scanned with the command nmap –v –sn 155.6.2.64/26, i.e., the C2 network? QUESTION 6...
Show your work, please 6. Counting Distributions. (a). How many solutions are there to the equation ni + 12+13 + 14 = 20 if ni, 12, 13, 14 are nonnegative integers and 14 # 4? (b). How many ways are there to give 13 (identical) red pencils and 15 (identical) blue pencils to 11 (different) students? (c). What if each student needs at least 1 pencil of each color?
how many atoms are in 1.2 mol of carbon Question 4 of 22 How many atoms are in 1.2 mol of carbon? atoms Question 6 of 22 Determine the molar mass of CH3OH. g/mol 1 2 3 Tue Oct 29 Question 8 of 22 How many atoms of vanadium are in 1.28 grams of vanadium ADD FACTOR RESET ANSWER Question 11 of 22 What is the mass percentage of Clin hydrochlorothiazide, C3H2CIN30.SZ? 1 % 1 2 3
there were no solutions to this past paper question. Question 1 (24 marks]. (a) Rewrite the following linear program in standard inequality form: minimise 78 - 12 +503 - 1034 subject to -11x1 - 12.12 - 13 + 14 > 1, 11-472-873 = 12 21 +672 +31, 57. 11,1220, 13 50 I, unrestricted (b) Consider the following linear program in standard equation form: maximise + 212-383 + 70s subject to I +212 +2.13 + 14 = 3 I + 2x2...
Q3 3. How many solutions, in non-negative integers a, b and c, are there to the linear equation a+b+c 73 with the restrictions a 2 30, b 30, and 10 7 Marks cs 30? Find the general solution of the recurrence: un-4un-13 x 4". 4. [8 Marks] 3. How many solutions, in non-negative integers a, b and c, are there to the linear equation a+b+c 73 with the restrictions a 2 30, b 30, and 10 7 Marks cs 30?...
01:51:41 Question 6 - of 22 Step 1 of 1 How many liters each of a 20 % acid solution and a 60 % acid solution must be used to produce 80 liters of a 40 % acid solution? (Round to two decimal places if necessary.) Keypad Answer How to Enter) 5 Points liters of 20% acid solution liters of 60 % acid solution
Question 24 3 pts How many networks are in the figure on the right side? 1 3 4 6 9 Question 25 3 pts A network on the Internet has a subnet mask of 255.25.192.0, what is the maximum number of hosts it can handle? 8192 4096 16384 32768 1024
question 2 & 3 2. Consider the following solutions at 25°C. Identify the major species present in our solution, and classify each solution as acidic, basic, or neutral. Major species Acidic/Basic/Neutral? 1. 1.0M CHNH3Br (aq) Solution II. 1.0M NHNH3CIO(aq) Explain your reasoning for your classification for Solution II. 3. Calculate the molarity of a Na2HPO4 solution that would yield a pH of 10.59 at 25°C. Formula _ _ 4.2 x 10-13 H.PO. 7.2 x 10 6.3 104 K Molarity =