How many bit strings of length 10 contain exactly four 1s

A bit-string is a binary digit sequence (bits). The length of the value is the number of bits in the sequence. A null string is a bit-string with no length. And how many bit strings of length 10 contain exactly four 1s

how many bit strings of length 10 contain exactly four 1s
how many bit strings of length 10 contain exactly four 1s

How many bit strings of length 10 contain exactly four 1s

This just asks us to pick four out of ten places in which to put one.

C(10, 4) = 10!/(4! × 6!) =
(10 × 9 × 8 × 7)/4! = 210

F.A.Q: How many bit strings of length 10 contain exactly four 1s

What is the length of a ten-bit string?

There are ten locations in the bit strings: 1, 2,…, 10. A 3-subset of the digits 1, 2,…, 10 may be expressed as a bit string with precisely 3 0s. These are the bits where the 0s are placed.

How many n-bit strings have exactly r 1s in them?

As a result, C(n,r) bit strings of length n contain precisely r 1s.

How can you figure out how long a string’s bits are?

A bit string is a collection of 0s and 1s. “00101” and “11110,” for example, are 5-bit strings. There are two methods to pick the first bit for length 8, two ways to select the second,… So, for length 8, there are a total of 288=256 options.

How much is a bit worth?

A bit is 12.5 cents or 1/8 of a dollar. You may deduce it from the context as well. Two bits, four bits, six bits, and a dollar. That implies they’re talking about 25 cents, 50 cents, 75 cents, and a dollar in that order.

https://bowie1983book.com/will answer how many bit strings of length 10 contain exactly four 1s

  • how many bit strings of length 10 contain either five consecutive 0s or five consecutive 1s
  • how many bit strings of length 8 contain exactly 3 1s
  • the bit strings of length 12 having at most four 1s
  • how many binary strings of length 12 start with 101 or 1110 and have exactly four 1s
  • the bit strings of length 9 having at least four 1s
  • the bit strings of length 13 having at least four 1s
  • the bit strings of length 6 having an equal number of 0s and 1s
  • the bit strings of length 7 having exactly four 1s

See more articles in category: Wiki