Correct the sentences: 

This sentence requires correction based on the principle of subject-verb agreement.

The main subject of the sentence is "The basket," which is a singular noun. The phrase "containing ten apples" is a participial phrase acting as an adjective, modifying "basket." It does not alter the number (singularity or plurality) of the main subject.

Since the subject "basket" is singular, the verb must also be singular. The original sentence used "were," which is a plural verb. It should be replaced with the singular past tense verb "was" to agree with the singular subject.

None of us are perfect. = None of us is perfect.

The phrase "look forward to" is a common idiomatic expression in English. In this construction, "to" acts as a preposition, not as part of an infinitive verb.

When a preposition is followed by a verb, that verb must be in its gerund form (the -ing form), functioning as a noun. Therefore, instead of "to see" (an infinitive), the correct form is "to seeing" (where "seeing" is a gerund).

Other common phrases where "to" is a preposition and takes a gerund include:

    
• be accustomed to + -ing (e.g., She is accustomed to working late.)
    
• object to + -ing (e.g., I object to being treated like that.)
    
• be devoted to + -ing (e.g., He is devoted to helping others.)
    
• in addition to + -ing (e.g., In addition to studying, he works part-time.)
    
• be used to + -ing (e.g., I am used to waking up early.)

Understanding these idiomatic expressions is crucial for correct grammatical usage, especially in professional communication and standardized English exams.