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A student takes 80 balls from the container, marks them with a blue dot, returns the marked balls to the container, and thoroughly mixes the balls She then takes 80 balls again from the container Of these, 16 have blue dots She now wants to use this data to estimate the total number of Ping-Pong balls.

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There is an immediate consequence of this principle for any number of events: If E 1, E 2, , E k are events that occur in order and if E 1 can occur in n 1 ways, E 2 in n 2 ways, and so on, then the events can occur in order in n 1 n 2 n k ways EXAMPLE 1 Using the Fundamental Counting Principle An ice-cream store offers three types.

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the number of assignments of 2 values to each of n items is 2n If n = 26 — that is, we consider bit strings of length 26 — there are 226 possible strings The exact value of 226 is 67,108,864 In computer parlance, this number is thought of as “64 million,” although obviously the true number is.

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A basket contains five red balls, four white balls and three blue balls Two balls are drawn, one after the other, with the first ball replaced before the second is drawn 31) Find the probability of drawing two white balls Answer: A 31) A) 1 9 B) 4 12 = 1 3 C) 2 12 = 1 6 D) 2 9 E) none of these Solve the problem.

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There is an immediate consequence of this principle for any number of events: If E 1, E 2, , E k are events that occur in order and if E 1 can occur in n 1 ways, E 2 in n 2 ways, and so on, then the events can occur in order in n 1 n 2 n k ways EXAMPLE 1 Using the Fundamental Counting Principle An ice-cream store offers three types.

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Getting digits from a number beginning from the least significant in C is pretty easy: #include

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