QUIZ ON PERMUTATIONS

Suppose we have six different potted plants and we wish to arrange four of them in a room. How can we find the permutations of this?

• P(6, 4) = $$\frac{6!}{\left(6-4\right)!}$$ 

• P(6, 4) = $$\frac{6!}{4!2!}$$ 
  

• P(6, 4) = $$\frac{6!}{4!}$$ 
  

• P(6, 4) =  $\frac{4!}{\left(6\ -\ 4\right)!}$ 
  

What is the value of P_{(8, 5)}?

• 36

• 336

• 1 400

• 6 720

If P(n, 4) = 5 040, what is the value of n?

• 8

• 9

• 10

• 11

Given x = P(n, n) and y = P (n, n-1), what can be concluded about x and y?

• x > y

• x < y

• x = y

• x = -y

Twelve runners join a race. In how many possible ways can they be arranged as first, second and third placers?

• 1 320

• 2 320

• 3 320

• 4 320

Find the number of distinguishable permutation of the word STATISTICS.

• 600

• 700

• 800

• 900

Suppose that in a certain association, there are 12 elected members of the Board of Directors. In how many ways can a president, a vice president, a secretary and a treasurer be elected from the board?

• 132

• 1 320

• 11 880

• 95 040

In how many different ways can 10 different - colored horses be positioned in a carousel?

• 504

• 4 032

• 362 880

• 3 628 800

In a town fiesta singing competition with 12 contestants, in how many ways can the organizer arrange the first three singers?

• 132

• 990

• 1 320

• 1 716

In how many ways can 8 people be seated around a circular table if two of them insist on sitting beside each other?

• 360

• 720

• 1 440

• 5 040