This trial will study tisotumab vedotin to find out whether it is an effective treatment alone or with other anticancer drugs for certain solid tumors and what side effects (unwanted effects) may occur. There are seven parts to this study. * In Part A, participants will receive tisotumab vedotin every 3 weeks (3-week cycles). * In Part B, participants will receive tisotumab vedotin on Days 1, 8, and 15 every 4-week cycle. * In Part C, participants will receive tisotumab vedotin on Days 1 and 15 of every 4-week cycle. * In Part D, participants will be given treatment on Day 1 of every 3-week cycle. * Participants in Part D will get tisotumab vedotin with either: * Pembrolizumab or, * Pembrolizumab and carboplatin, or * Pembrolizumab and cisplatin * In Part E, participants will receive tisotumab vedotin on Days 1 and 15 of every 4-week cycle. * In Part F, participants will receive tisotumab vedotin on Days 1, 15, and 29 of every 6-week cycle. Participants in Part F will get tisotumab vedotin with pembrolizumab. * In Part G, participants will receive tisotumab vedotin on Days 1, 15, and 29 of every 6-week cycle. Participants in Part G will get tisotumab vedotin with pembrolizumab and carboplatin. The objectives of the study have been achieved. Therefore, the study will transition to a long-term extension phase (LTEP). * In LTEP, participants still receiving clinical benefit based on the investigator's assessment and remaining on treatment may continue receiving treatment. * Participants will still receive tisotumab vedotin with either: * Pembrolizumab or, * Pembrolizumab and carboplatin, or * Pembrolizumab and cisplatin