8. How many bit strings(strings of 1 or 0) of length 12 are there such that it contains exactly 4 1s?

Q: How many 10-digit binary strings have an even number of 1's?

A: 10-digits binary string can be: {1010101010} Even number of 1's means the number of 1's can be…

Q: How many 13-bit strings contain exactly six 1's?   (b) How many 13-bit strings contain at least…

A: a) If exactly 6 are 1's then (13-6)=7 will be 0's. When positions of 1's are fixed, then the…

Q: How many bit strings (a string of 0s and 1s) of length 14 have: (a) Exactly two Os? (b) The same…

A: The objective of this question is to find the number of bit strings of length 14 that have exactly…

Q: . How many 8 digit binary strings have exactly 5 ls?

A:

Q: How many 12-bit strings contain exactly five 1's?   (b) How many 12-bit strings contain at least…

A: a) We can pick 5 positions for 1's from 12 positions in 12C5= 792 ways  Answer(a): 792

Q: How many 8-bits strings have exactly three 1's?

A: Given that  8 bits strings have exactly three 1 s is

Q: How many bit strings contain exactly eight 0s and 10 1s if every 0 must be immediately followed by a…

A: Here we will use the concept of combination and the formula for combination is given by C(n,r) =…

Q: How many 10-bit strings are there if the string must start with 001 or 10?

A: By using the given information the solution is given as follows

Q: (a) How many passwords are possible? (b) How many passwords are possible that do NOT repeat any…

A:

Q: Determine the number of bit strings of length 8 that begin and end with a 1.

A: We have to determine the number of bit strings of length  that begins and ends with a

Q: Each character in a password of length six can be any uppercase letter from A-Z or any symbol from…

A: Given information: Total number of letters that can be used for password = 26 Total number of…

Q: Suppose a password must have at least 8 characters, but no more than 12 characters, made up of…

A: Given that, Suppose a password must have at least 8 characters, but no more than 12 characters, made…

Q: How many bit strings of length 5 contain at least two 1s?

A: We first find number of bit strings of length 5 that  contain less than two 1s. (1) When there is no…

Q: How many 9-bit strings of weight 5 start with 101 or end with 10 or both?

A: We have to find the how many 9-bit strings of weight 5 start with 101 or end with 10 or both.