How many bit strigs of length 5 do have 3 consecutive zeros such that the other two bits are not equal to each other?. Show all your work to get credit.

Discrete Math:Counting and Combinatorics

1. In how may ways can the letters of the word ‘SEMESTER’ be arranged such that no vowels are together. Show all your work to get credit.

2. How many bit strigs of length 5 do have 3 consecutive zeros such that the other two bits are not equal to each other?. Show all your work to get credit.

Two important considerations for this problem:

(a) A bit string can be 0 or 1
(b) Repetitions are not allowed in the final results.

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