Permutations of Non-Distinguishable Objects

andCircular Permutations

Poker fun with your best friends by flickr user coltfan909

Permutations

336

How many ways can the batting order of a 9-member softball team be listed?

How many different urls can tinyurl.com possibly make:

if it is NOT case sensitive?

if it IS case sensitive?

A 120-room hotel has reservations from 6 guests for 6 different rooms. In how many ways can the rooms be assigned?

How many different "words" can you make from the letters in the word BOOK?

B KOOB OOKBKOOBK OOBOO KBO K O

O O Kor

34650

How many different "words" can you make from the letters in the word STATISTICS?

How many distinguishable ways can 3 people be seated around a circular table?

How many distinguishable ways can 4 people be seated around a circular table?

How many distinguishable ways can 3 beads be arranged on a circular bracelet?

How many distinguishable ways can 4 beads be arranged on a circular bracelet?

In how many ways can 4 married couples seat themselves around a circular table if:

(a) spouses sit opposite each other?

(b) men and women alternate?