Build a Vue.js Task Manager (Challenge)

# Introduction

In this challenge, we will be implementing a simple task manager using Vue.js. The task manager will allow users to add tasks, delete tasks, display the total number of tasks, and clear all tasks. The project provides a basic layout and logic coding file, and the Vue.js framework version 2.x is included. We will need to use the default DOM structure provided in the index.html file and implement the task manager function using Vue 2.x syntax. The goal is to create a dynamic task manager that updates the task list in real-time based on user input and actions.