PHP email script keeps rejecting entry even though checks are passed - php

Question

I have written a PHP script for a contact form however it is not working, as when I press submit the message "Error with sending the message" pops up instead of the confirmation message (see at the end of the php code). I am at a loss here. The script and html are stored in a single file called "contact.php"
The php script is as follows
<?php
if($_POST["submit"]){
$name = $_POST['name'];
$email = $_POST['email'];
$subject = $_POST['subject'];
$message = $_POST['message'];
$human = intval($_POST['human']);
$to = 'faisalhussien#hotmail.com';
$message = "From: $name\n E-Mail: $email\n Message:\n $message";
// Check if name has been entered
if (!$_POST['name']) {
$errName = 'Please enter your name';
}
// Check if email has been entered and is valid
if (!$_POST['email'] || !filter_var($_POST['email'], FILTER_VALIDATE_EMAIL)) {
$errEmail = 'Please enter a valid email address';
}
if (!$_POST['subject']){
$errSubject = 'Please include the subject of the message';
}
//Check if message has been entered
if (!$_POST['message']) {
$errMessage = 'Please enter your message';
}
//Check if simple anti-bot test is correct
if ($human !== 5) {
$errHuman = 'Your answer is incorrect';
}
if(!$errName && !$errEmail && !$errSubject && !$errMessage && !$errHuman){
if (mail ($to, $subject, $message)) {
$result='<div class="alert alert-success">Thank You! I will be in touch</div>';
} else {
$result='<div class="alert alert-danger">Error with sending the message</div>';
}
}
}
?>
And my HTML for the form is:
<div class="container">
<div class="row">
<div class="col-md-6 col-md-offset-3">
<h1 class="page-header text-center">Contact</h1>
<form class="form-horizontal" role="form" method="post" action="contact.php">
<div class="form-group">
<label for="name" class="col-sm-2 control-label">Name</label>
<div class="col-sm-10">
<input type="text" class="form-control" id="name" name="name" placeholder="First & Last Name" value="<?php echo htmlspecialchars($_POST['name']); ?>">
<?php echo "<p class='text-danger'>$errName</p>";?>
</div>
</div>
<div class="form-group">
<label for="email" class="col-sm-2 control-label">Email</label>
<div class="col-sm-10">
<input type="email" class="form-control" id="email" name="email" placeholder="example#domain.com" value="<?php echo htmlspecialchars($_POST['email']); ?>">
<?php echo "<p class='text-danger'>$errEmail</p>";?>
</div>
</div>
<div class="form-group">
<label for="email" class="col-sm-2 control-label">Subject</label>
<div class="col-sm-10">
<input type="text" class="form-control" id="subject" name="subject" placeholder="Subject" value="<?php echo htmlspecialchars($_POST['subject']); ?>">
<?php echo "<p class='text-danger'>$errSubject</p>";?>
</div>
</div>
<div class="form-group">
<label for="message" class="col-sm-2 control-label">Message</label>
<div class="col-sm-10">
<textarea class="form-control" rows="4" name="message"><?php echo htmlspecialchars($_POST['message']);?></textarea>
<?php echo "<p class='text-danger'>$errMessage</p>";?>
</div>
</div>
<div class="form-group">
<label for="human" class="col-sm-2 control-label">2 + 3 = ?</label>
<div class="col-sm-10">
<input type="text" class="form-control" id="human" name="human" placeholder="Your Answer">
<?php echo "<p class='text-danger'>$errHuman</p>";?>
</div>
</div>
<div class="form-group">
<div class="col-sm-10 col-sm-offset-2">
<input id="submit" name="submit" type="submit" value="Send" class="btn btn-primary">
</div>
</div>
<div class="form-group">
<div class="col-sm-10 col-sm-offset-2">
<?php echo $result; ?>
</div>
</div>
</form>
</div>
</div>
</div>
To test the code I am using MAMP on windows (in case that is where the fault lays)