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Questions & Answers about Qui dirige cette équipe ?
Why is there no est-ce que or subject-verb inversion after Qui?
When qui (who) is the subject doing the action, it connects directly to the verb, just like in English ("Who runs...?"). You only need inversion or est-ce que when asking about the object of the sentence, like "Who(m) are you calling?" (Qui est-ce que tu appelles ?).
Why is the verb diriger used here instead of courir for "runs"?
Since équipe starts with a vowel, why don't we use cet instead of cette?
The special demonstrative adjective cet (this/that) is only used to avoid vowel clashes with masculine nouns (like cet ami). Since équipe is a feminine noun, it always takes the standard feminine form cette, regardless of its starting letter.