Setup an HTML file with a script tag at the proper location. Then, complete the following using JavaScript within this script tag:

$1.$ Write a function in JavaScript that can calculate the factorial of a number. Recall that the factorial of a number n is given as:

f$($n$)=$ n $*$ f$($n$-1)$

$2.$ Call this function and print the values of factorial of $5$ and $6.$ Output the values on the console.

$3.$ Create a simple HTML form. This form must have two input fields and a submit button. Style the form properly using Bootstrap.

$4.$ Create a variable in JavaScript and set its value to the concatenation of the first names of all your group members. For example, $$Stu Dent One$$ where the first names of the three group members are $$Stu$,$Dent$$ and $$One$.$ You must use string templates for doing this.

$5.$ Using JavaScript, enable this functionality: whenever the submit button is clicked, your code must set the value of the first input field of the form to the string you created in Part $4$ above.