To solve this problem, we need to identify which contraceptive methods involve the role of hormones. Let's analyze each method:$\newline \bullet$Lactational amenorrhea: This method relies on the natural postpartum infertility that occurs when a woman is breastfeeding. It does not involve the use of hormones.$\newline \bullet$Pills: These are oral contraceptives that contain hormones such as estrogen and progesterone, which prevent ovulation and thus prevent pregnancy.$\newline \bullet$Emergency contraceptives: These are pills taken after unprotected intercourse to prevent pregnancy. They contain hormones that inhibit or delay ovulation.$\newline \bullet$Barrier method: This method includes devices like condoms and diaphragms that physically block sperm from reaching the egg. It does not involve hormones.$\newline \bullet$CuT (Copper T): This is an intrauterine device (IUD) that releases copper ions to prevent sperm from fertilizing the egg. It does not involve hormones.$\newline$Now, let's identify the options that involve hormonal methods:$\newline \bullet$Option 1: Lactational amenorrhea, Pills, Emergency contraceptives - Only Pills and Emergency contraceptives involve hormones.$\newline \bullet$Option 2: Barrier method, Lactational amenorrhea, Pills - Only Pills involve hormones.$\newline \bullet$Option 3: CuT, Pills, Emergency contraceptives - Pills and Emergency contraceptives involve hormones.$\newline \bullet$Option 4: Pills, Emergency contraceptives, Barrier methods - Only Pills and Emergency contraceptives involve hormones.$\newline$Therefore, the correct option is Option 3, as it includes both Pills and Emergency contraceptives, which involve hormones.