What were the circumstances which led to the
eventual collapse of indigo production in Bengal?
Explain the difference between a permutation and a combination. How many ways can 5 students be seated in a row if two specific students must sit together?
Define the argument of a complex number. Find the argument of the complex number 1 plus root 3 i.
Prove by induction that the sum of the first n odd natural numbers is equal to n squared.
Prove that tan squared theta plus 1 equals sec squared theta. Use this identity to solve for tan theta if sec theta equals 5 over 3.
Define the union and intersection of two sets. If A is the set 1, 2, 3 and B is the set 2, 3, 4, find A union B and A intersection B.
A box contains 4 red, 3 blue, and 5 green balls. If two balls are drawn at random, what is the probability that both balls are green?
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