solve each problem involving counting theory.
-An experiment consists of rolling a die six times. Find the probability of each event.
(a) Exactly 4 rolls result in a 2.
(b) None of the rolls results in a 3.
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Q7: Use mathematical induction to prove that
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Q13: Write the first four terms for
Q14: In each sequence defined, find
Q15: Find the sum of the first
Q16: Evaluate each sum that exists.
(a)
Q17: (a) Use the binomial theorem to
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