Pasagutan po yung maayos po sana yung sagot

C. Answer each permutation problem completely. Show your solutions.
1. How many distinguishable permutations are possible with all the letters of the
word ELLIPSES?
2. Find the number of distinguishable permutations of the digits of the number
348 838.
3. If there are 10 people and only 6 chairs are available, in how many ways can
they be seated?
4.) There are 4 different Mathematics books and 5 different Science books. In
how many ways can the books be arranged on a shelf if books of the same
subject must be placed together?
5.) There are 12 people in a dinner gathering. In how many ways can the host
(one of the 12) arrange his guests around a circular dining table if
a. they can sit on any of the chairs?
b. 3 people insist on sitting beside each other?
c. 2 people refuse to sit beside each other? ​