PERMUTATION

Anna, Bon, Charles, Dianne, Fe and Erwan want to take a photo in which three of them are lined up in a row. How many different photos are possible?

• 240

• 120

• 480

• 720

Anna, Bon, Charles, Dianne, Fe and Erwan want to take a photo in which Anna and Erwan must not stand next to each other. How many different photos are possible?

• 240

• 120

• 480

• 720

Anna, Bon, Charles, Dianne, Fe and Erwan want to take a photo in which Anna and Bon must stand next to each other. How many different photos are possible?

• 240

• 120

• 480

• 720

In how many ways can a group of 12 persons arrange themselves, around a circular table?

a. 12!

b. 12!/2

c. 11!

d. 11!/2

• 12!

• $\frac{12!}{2}$

• 11!

• $\frac{11!}{2}$

In how many ways can the letters of the word BIRTHDAY be arranged so that the vowels always come together?

• 8!

• $8!\times2!$
  

• 7!

• $7!\times2!$

In how many ways can a group of 8 persons arrange themselves around a circular table if 3 of them insist on sitting beside each other?

• 4,320

• 720

• 6,720

• 336

In how many ways can a group of 8 persons arrange themselves around a circular table if 3 of them must not sit next to each other?

• 4,320

• 720

• 6,720

• 336

How many distinct permutations can be formed from the letters of the word COMMUNICATION?

• 13!

• $\frac{\left(13-1\right)!}{2}$

• $\frac{13!}{2!2!2!2!}$

• $\frac{13!}{2!2!2!2!2!}$

What are the number of ways in which 12 beads can be arranged to form a necklace?

• 12!

• $\frac{12!}{2}$

• 11!

• $\frac{11!}{2}$

It is required to seat 5 men and 4 women in a row so that the women occupy the even places. How many such arrangements are possible?

• 9!

• $\frac{9!}{4!5!}$

• $4!\times5!$

• $9!-\left(4!\times5!\right)$