# 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

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

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• the bit strings of length 6 having an equal number of 0s and 1s
• the bit strings of length 7 having exactly four 1s

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