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2522
coin
A fair coin is tossed n times .find probability of difference between head and tails is n-3
A fair coin is tossed n times .find probability of difference between head and tails is n-3
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2527
Kenneth Rosen Edition 7 Exercise 8.2 Question 5 (Page No. 524)
How many different messages can be transmitted in $n$ microseconds using the two signals described in question $19$ in Section $8.1?$
How many different messages can be transmitted in $n$ microseconds using the two signals described in question $19$ in Section $8.1?$
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2528
Kenneth Rosen Edition 7 Exercise 8.2 Question 42 (Page No. 526)
Show that if $a_{n} = a_{n-1} + a_{n-2}, a_{0} = s\:\text{and}\: a_{1} = t,$ where $s$ and $t$ are constants, then $a_{n} = sf_{n-1} + tf_{n}$ for all positive integers $n.$
Show that if $a_{n} = a_{n-1} + a_{n-2}, a_{0} = s\:\text{and}\: a_{1} = t,$ where $s$ and $t$ are constants, then $a_{n} = sf_{n-1} + tf_{n}$ for all positive integers $...
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2529
Kenneth Rosen Edition 7 Exercise 6.6 Question 7 (Page No. 438)
Use Algorithm $1$ to generate the $24$ permutations of the first four positive integers in lexicographic order.
Use Algorithm $1$ to generate the $24$ permutations of the first four positive integers in lexicographic order.
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2530
Kenneth Rosen Edition 7 Exercise 6.1 Question 26 (Page No. 397)
How many strings of four decimal digits do not contain the same digit twice? end with an even digit? have exactly three digits that are $9s?$
How many strings of four decimal digitsdo not contain the same digit twice?end with an even digit?have exactly three digits that are $9s?$
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2531
Kenneth Rosen Edition 7 Exercise 6.1 Question 70 (Page No. 398)
Use the product rule to show that there are $2^{2^{n}}$ different truth tables for propositions in $n$ variables.
Use the product rule to show that there are $2^{2^{n}}$ different truth tables for propositions in $n$ variables.
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2532
Kenneth Rosen Edition 7 Exercise 6.6 Question 11 (Page No. 438)
Show that Algorithm $3$ produces the next larger $r$-combination in lexicographic order after a given $r$-combination.
Show that Algorithm $3$ produces the next larger $r$-combination in lexicographic order after a given $r$-combination.
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2536
Kenneth Rosen Edition 7 Exercise 8.1 Question 9 (Page No. 511)
Find a recurrence relation for the number of bit strings of length n that do not contain three consecutive $0s.$ What are the initial conditions? How many bit strings of length seven do not contain three consecutive $0s?$
Find a recurrence relation for the number of bit strings of length n that do not contain three consecutive $0s.$ What are the initial conditions?How many bit strings of l...
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