Answer:
( ¹⁵C₂ )² × 5! = 1082161080
Explanation:
Data provided in the question:
Number of married couples = 15
Therefore,
Number of males = 15
Number of females = 15
Now,
The number of possible dancing arrangements
= Probability of selecting males × Probability of selecting males × ways of arranging 5 pairs
= ¹⁵C₂ × ¹⁵C₂ × 5!
= ( ¹⁵C₂ )² × 5!
= ![[\frac{15!}{5!\times(15-5)!}]^2](https://tex.z-dn.net/?f=%5B%5Cfrac%7B15%21%7D%7B5%21%5Ctimes%2815-5%29%21%7D%5D%5E2)
× ( 5 × 4 × 3 × 2 × 1 )
= ![[\frac{15\times14\times13\times12\times11\times10!}{5\times4\times3\times2\times1\times10!}]^2](https://tex.z-dn.net/?f=%5B%5Cfrac%7B15%5Ctimes14%5Ctimes13%5Ctimes12%5Ctimes11%5Ctimes10%21%7D%7B5%5Ctimes4%5Ctimes3%5Ctimes2%5Ctimes1%5Ctimes10%21%7D%5D%5E2)
× ( 5 × 4 × 3 × 2 × 1 )
= ![[\frac{360360}{120}]^2](https://tex.z-dn.net/?f=%5B%5Cfrac%7B360360%7D%7B120%7D%5D%5E2)
× 120
= 1082161080
Answer:
See below
Explanation:
A budgetary fund is an income account and thus a debit balance suggests a deficit on the fund account. This means that governing bodies of City of Goodville have spent more money in their expenditures than they have brought in as income from the fund. This will be recorded as a liability in the balance sheet. Where as a credit balance would be a surplus and recorded as an asset.
<h2>Pre-Increment increments the value immediately, Post increment increments the value only after executing the entire line.</h2>
Explanation:
class PrePostIncOperator {
public static void main(String[] args){
int x=5;
System.out.println(x++);
System.out.println("\n"+ ++x);
}
}
Let us understand the program.
int x = 5 => Initializes the value of 5 to the variable x
System.out.println(x++); This is the post increment operator. The value of x gets incremented only after printing the value. That is first System.out.println(x) will be executed and then the increment operator takes place once it finds the ";" that is the end of the statement. The memory which holds the value of x is changed only after executing the statement.
System.out.println("\n"+ ++x);
Here the value gets incremented and immediately assigns to the memory.
The theater engagement plans (TEPs) provide frameworks within which combatant commands engage regional partners in cooperative military activities and development.
The activities of theater engagement plans or TEP aims to rectify a crisis’ cause before the circumstance requires a compulsive US military participation.
Answer: Option D
Explanation: In simple words, short run refers to the time frame in which all the factors of production are fixed while in the long run all of them are variable.
This happens due to the fact that in the short run if the company goes for changing the level of inputs than the opportunity that were availing in that time period will be gone by then leading to losses as the total time frame is very less in short run.
On the other hand, firms tends to have greater life in the market and keeps developing themselves with the changing forces of market.
