Question

For a segment of a radio show, a disc jockey can play 8 records. If there are 10 records to select from, in how many ways can the program for this segment bearranged?ways

Answer 1

Since the question is asking for the order of arrangement, we will use permutation.

There are 8 records that can be picked from 10 records. Therefore, we can find the number of ways of selection is given as

`^(10)P_8`

Using the permutation formula, we have

`^(10)P_8=(10!)/((10-8)!)`

Solving, we have

`\begin{gathered} ^(10)P_8=(10*9*8*7*6*5*4*3*2*1)/(2*1) \\ ^(10)P_8=1814400 \end{gathered}`

Therefore, there are 1,814,400 ways for the segment to be arranged.