please help me answer this is all about probability. please show solution thanks

Written Works (25 points) A. Choose the correct answer in the following questions. 1. C[n,n)= an C. 1 b. r d. cannot be determined 2. Which of the following situations does not illustrate combination? a. Choosing three students to attend the meeting. b. Winning in a contest c. Picking 6 balls from a basket of 12 balls d. Four people posing for pictures 3. What is the value of 412!? a. 24 C. 48 b. 12 d. 8 4. In C(7,4)=35, which of the following corresponds to the number of objects. a. 1 C. 4 b. 35 d. 7 5. It is a selection of items from a collection such that the order of the selection does not matter. a. Combination c. Permutation b, Differentiation d. Sequence 6. Arrangement of objects where order is important. a. Combination c. Permutation b. Differentiation d. Sequence 7. Which of the following has the most number of arrangement? a. P(12,3) c. P(10,5) b. P(11,4) d. P(9,6) 8. If C(n,5)=126, what is n? a. 11 c. 9 b. 10 d. 7 9. What is P(10,7)? . 604,800 C. 640,800 b. 806,040 d. 680,400 10. If P(n,4)=1680, then n= a. 12 C.9 b. 10 d. 8B. Tell whether if the given situation a permutation or combination. 1. How many 3 person committees can be chosen from group of 6 people. 2. There 6 things in a hat. How many ways can you pick 2 things from the hat at once? 3. In how many ways can Dylan, Allysa, Sydney and Maui stand in line? 4. Choosing the 1", 2"d, and 3" placers in a quiz bee with 10 participants. 5. Arranging 4 charms from 6 possible, on a bracelet that has a clasp, a front and a back. C. Complete the table. Permutation / Number of objects Number of objects Combination taken at a time 1. C (12,12) 2. C (10,7) 3. P (5,1) 4. P (x,r) 5. C (9,6) Performance Tasks (25 points) Determine whether each situation involves a permutation or a combination. Then find the number of ways/possibilities. 1. Playing Cards : From a standard deck of 52 cards, in how many ways can 7 cards be drawn? 2. Basketball: Introducing the 5 starting players on the Pulo's Basketball team at the beginning of the next basketball game. 3. Race: Choosing the first, second and third-place finisher in a race with 10 competitors. 4. Election: Electing 4 candidates to a municipal board from a field of 7 candidates. 5. Orange Juice: Selecting 2 of 8 possible different brands of orange juice at the store