Question 1: Permutations and combinations (30 points) Robatic club at AUM has 20 members, divided into three classes: 7

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Question 1: Permutations and combinations (30 points)
Robatic club at AUM has 20 members, divided into three classes:7 are seniors, 4 are juniors, and 9 are sophomores.
a. In how many ways can the club choose a group of six membersto attend the conference in Washington if there must be two membersfrom each class? [Show your work]
b. In how many ways can the club select a president, a secretaryand a treasurer if every member is eligible for each position andno member can hold two positions? [Show your work]
c. In how many ways can the club choose a group of 3 members toattend the next conference in Washington? [Show your work]
d. Find P [A|B] if A ∩ B = B
e. Find P [A|B] if A ⊂ B
f. What is the difference between ((A∩B) ) and P\(A∩B)
g. Give at least 3 examples of different probability conceptswhen a tree diagram can be used
i'll give thumbs up for sure, if all will besolved,