Circular Permutation

A couple wants to plant some shrubs around a circular walkway. They have seven different shrubs. How many different ways can the shrubs be planted?

• 120

• 720

• 5040

• 24

What formula should be used in getting the permutation of repeated elements?

• P = n! / a!b!c!, .

• P = (n-1)!

• P = n!/(n-r)!

• P = n!

Find the number of different ways that a family of 9 can be seated around a circular table with 9 chairs.

• 5 040

• 40 320

• 362 880

• 3 628 880

Your mother made pickles, tilbok, leche flan, ube jam, sapin-sapin and graham. You are to arrange the side dishes and desserts in a round table. Find the circular permutation that you can make.

• 6

• 24

• 720

• 120

How many distinguishable permutations are there in the word PASS?

• 4

• 12

• 36

• 144

Permutation of n taken r = n! / (n-r)!

Circular Permutation = ?

• n! / p! q! r! ,...

• n! / (n-r)!

• n! / r!

• (n-1)!

Two different arrangements of objects where some of them are identical are called _____________ .

• unique combinations

• circular permutations

• distinguishable permutations

• circular combinations

How many person are in a circular table if they make 24 arrangements?

• 2

• 3

• 4

• 5

How many different arrangements can be formed from the word "SIPNAYAN"?

• 5,040

• 10,080

• 4,320

• 9,670

Find the number of distinguishable permutations in the word "STATISTICS".

• 50,400

• 25,750

• 15,870

• 10,530