In how many ways can the integers 1, 2, 3, 4, 5, 6, 7, 8 be placed in a circle if at least three odd numbers are together

How many 7-digit even numbers less than 3 000 000 can be formed using all the digits1, 2, 2, 3, 5, 5, 6 ?

How many different seating orders are there for eight people sitting in a circle?

Study the following arrangement carefully and answer the question given below:4 2 6 1 3 8 9 5 8 1 6 5 1 5 8 5 3 9 4 9 2 3 2 1 5 7 2 6 2 4 2 7 4How many such 2’s are there in the above arrangement each of which is immediately preceded by an odd digit and also immediately followed by an odd digit?

How many different 3-digit even numbers can be formed so that all the digit are different?

How many 3-digit odd numbers exist, with no repetition? Ex: 871 counts, but 777 does not.