Evaluate $^{n+1}{{C}_{n-2}}$ if n = 15

In how many ways can five people sit round a circular table?

In how many ways can the letters of the word ELATION be arranged?

Raila has 7 different posters to be hanged in her bedroom, living room and kitchen. Assuming she has plans to place at least a poster in each of the 3 rooms how many choices does she have?

In how many ways can a committee of 2 women and 3 men be chosen from 6men and 5 women?

In how many can 9 people be seated if 3 chairs are available?

In how many ways can a delegates of 3 be chosen 5men and 3woman, if at least 1man and 1 woman must be included?

Find the number of ways of selecting 6 out of 10 subjects for an examination

In how many ways can the letters of the word ACCEPTANCE be arranged?

In how many ways can 6 subjects be selected from 10 subjects for an examination?