Count the number of strings of m 0s and n 1s that have exactly k blocks of consecutive 1s.
It is required to obtain the number of binary strings of total length m+n, each string having exactly k blocks of consecutive 1's
Between any two blocks of consecutive 1's , a 0 must appear (necessarily). As there are exactly k blocks, there are k-...
Q: Let z be a complex variable z=x+iy question attached in pic
A: (a) To evaluate the given integral around the circle |z - 2| = 3.Parametrise the equation of the cir...
Q: Solve the differential equation by the method of variation of parameters. y"+3y'+2y=1/(1+ex)
A: The differential equation is given by,
Q: 1.The ratio of 3:18:30 is expressed in its simplest form. 2. A weighted average is calculated the s...
A: Hi there! You seem to have posted 3 different questions. So, we will be answering only the first on...
Q: Recall that for a set S, P(S) is its power set. Given two sets S and T, prove that S C T if and only...
A: Let S and T be two sets and P(S), P(T) are its power sets.Power set of a set is defined as the colle...
Q: 6142 X 204=? 16 divided by 57042 7 3/5 + 2/3 4 3/4 - 2 5/6 4 1/5 X 1 1/4 9 2/3 divided by 3 1/6 ...
A: Since, there are multiple questions,we will be answering only first two questions. In case, you need...
Q: Is multiplication modulo 6 a binary operation on Z6^*? why or why not?
A: Take two elements in the set.Check whether multiplication modulo 6 of two elements is again in the s...
Q: I understand how to construct a truth table for these two propositions to prove their logical equiva...
A: Proof:The given compound statement p ↔ q is built using the logical connective ↔.Here, the logic con...
Q: Show that the following equations either are exact or can be made exact, and solve them: 2,,2 (b) 2x...
A: To modify (if necessary) the given equations into exact form and thus solve the equation
Q: Question attached in photo
A: To calculate the line integrals with prescribed orientations of the paths