How many bit strings of length 10 have exactly three 0s?

aflacatn

aflacatn

Answered question

2021-10-23

How many 10-bit strings contain precisely three 0s?

Answer & Explanation

cheekabooy

cheekabooy

Skilled2021-10-24Added 83 answers

Since the number of ones, not their order, is what matters, the definition of combination must be used instead of the definition of bit order.
n=10 
r=3 
Evaluate the definition of a combination: 
C(10,3)=10!3!(103)!=10!3!7!=120

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?