Inclusion criteria:
* Be more than or equal to (>=) 18 years of age (or the legal age of majority in the jurisdiction in which the study is taking place, whichever is greater)
* Have histologically or cytologically confirmed recurrent/metastatic (R/M) HNSCC that is considered incurable by local therapies: a. eligible primary tumor locations are the oral cavity, oropharynx, hypopharynx, or larynx; b. Must not have a primary tumor site of nasopharynx or primary tumor of unknown location; c. Must have documented local testing results per local regulations; d. Human papillomavirus (HPV) status must be known for participants with primary tumor location in oropharynx via p16 test, HPV DNA test, or high-risk HPV in situ hybridization (ISH). Any known p16, HPV DNA, or high-risk HPV ISH status of tumor must be negative
* Be treatment-naive for systemic therapy in the R/M setting
* Have an ECOG performance status of 0 or 1
* Have measurable disease according to Response Evaluation Criteria in Solid Tumors (RECIST) version (v).1.1
Exclusion criteria:
* Have an uncontrolled illness
* Have untreated brain metastases or history of known presence of leptomeningeal disease
* Have a history of clinically significant cardiovascular disease
* Inadequate organ or bone marrow function
* Known allergies, hypersensitivity, contraindications, or intolerance to excipients of: Amivantamab, Pembrolizumab, Carboplatin, Cisplatin, 5-FU and Hyaluronidase