Picklist Without None Value in Visualforce Page

Controller:

public class Sample{
    
    public Account acc {get;set;}
    public List<SelectOption> typeOptions {get;set;}
    
    // Constructor called when page is accessed.
    public Sample() {
        
        acc = new Account();        
        typeOptions = new List<SelectOption>();
        
        //Use DescribeFieldResult object to retrieve status field.
        Schema.DescribeFieldResult typeFieldDescription = Account.Type.getDescribe();
        
        //For each picklist value, create a new select option
        for (Schema.PickListEntry pl:typeFieldDescription.getPicklistValues()){
            typeOptions.add(new SelectOption(pl.getValue(),pl.getLabel()));
            
            //Obtain and assign default value
            if (pl.defaultValue){
                acc.Type= pl.getValue();
            }  
        }     
    }
}

Visualforce Page:

<apex:page controller="Sample">
    Please select account type:
    <br/>
    <apex:form >
        <apex:selectList size="1" value="{!acc.Type}">
            <apex:selectOptions value="{!typeOptions}"/>
        </apex:selectList>
    </apex:form>
</apex:page>

Output: