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20 May, 20:35

1. What is the fourth term in the expansion of (x + 4y) ^6?

a) 7680x^3y^3

b) 3840x^2y^4

c) 1440x^2y^4

d) 1280x^3y^3

2. A bag contains 6 red marbles, 4 blue marbles, 7 green marbles, and 3 yellow marbles. A marble is drawn from the bag and is not replaced. Then a second marble is drawn. What is the probability that both marbles drawn were green?

Option A: 49/380

Option B: 49/400

Option C: 21/190

Option D: 21/200

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Answers (1)
  1. 20 May, 22:58
    0
    For the fourth term r = 3

    Fourth term = 6C3 (x) ^ (6 - 3) (4y) ^3 = 20x^3 (64y^3) = 1,280x^3y^3
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