Problem One

Demonstrate Recursion

Create an ArrayList similar to the below image:

ArrayList rec $\backslash (=\backslash )$ new ArrayList$()$;

Use Java to demonstrate Recursion using an ArrayList.

The system should ask the user to enter a number $"\backslash ($ n $\backslash ),"$ and the system multiplies itself by $"\backslash (\backslash$mathrm$\{$n$\}-1\backslash )"$ until $\backslash (\backslash$mathrm$\{$n$\}=1\backslash ).$

For example, if the user inputs $"5,"$ then the result is: Problem Two

Create an ArrayList, and then use it to track the $\backslash (\backslash$boldsymbol$\{$n$\}\backslash$boldsymbol$\{$t h$\}\backslash )$ number in the Fibonacci sequence.

For example, if $\backslash (\backslash$mathbf$\{$n$\}=\backslash$mathbf$\{6\}\backslash ),$

then the output would be:

$\backslash ([0,1,1,2,3,5]\backslash )$

Problem Three

"Even or Odd Word"

Ask the user to ENTER IN A QUOTE or WORD or SERIES of WORDS. The system shall calculate whether or not the amount of characters is EVEN or ODD.

For example, the word EXCEL would yield "ODD" because there are $5$ characters. Problem Four

"Even or Odd List"

Ask the user to ENTER IN A SERIES OF NUMBERS INTO A LIST.

The system shall then calculate whether or not the amount of items is EVEN or ODD.

For example, the list $[45,54,1]$ would yield "ODD" because it has three items in it$.$ Problem Five

"KENO"

Create a program that generates an ArrayList, similar to that of a Keno board.

Here is how the program shall operate similar to a real game of Keno:

The user predicts a set amount of numbers they think will be 'drawn' $($say$,8,$ for example$).$

The Keno board is created. It should be $4$ rows with $5$ items per row, unless you would like to make it different. It should be randomly generated from numbers $1$ to $100.$

It should resemble the below image:

$4574497131$

$2830348544$

$\backslash (34\backslash$quad $56\backslash$quad $69\backslash$quad $8\backslash$quad $13\backslash )$

$\backslash (86\backslash$quad $28774170\backslash )$

If at least $5$ of the $8$ numbers match the Keno board, the player wins.

Feel free to have a variation in the amount of numbers on the board, or how many numbers the player chooses...just ensure the CORE gameplay is consistent with the above rules.