I would like some assistance with these statistics exercise

Which of the following is/ are TRUE? I: 20 basket ball players form teams of 5 players. If each player can play any position then the number of teams of 5 that can be formed is 15,504. II: At a party with 30 people, if each person shake hands with every person then the number of total handshakes that take place is 435. III: If the letters A, B, C, T, U, V are placed in a bag then the probability that if you draw exactly 3 letters you can spell the word "cat" is 20 Select one: O A. II only O B. III onlyIn a box containing 7 green and 3 blue marbles. If 2 marbles are drawn at random, which of the following is/are FALSE? I: The probability of getting two blue marbles, where there is no replacement, is 15 II: The probability of getting same colours, where there is no replacement, is 18 15 III: The probability of getting two green marbles, 49 where there is replacement, is 100 Select one: O A. I and Il only O B. I and Ill only O C. II only O D. I only E. Ill onlyIf S is the sample space and E and F are two events, where S = { 1, 2, 3, 4, 5, 6 }, E = { 1, 2, 3, 4 } and F = {3, 4, 5 ]. Then, P(E U F) = Select one: OA. O B O C. None of the options OD