Question

How many ways can 6 people be chosen and arranged in a straight line if there are 8 people to choose from? 720 20,160 40,320 48?

Answer 1

The number of permutations of 8 people taken 6 at a time is given by:
$8P6=\frac{8!}{(8-6)!}=20,160$

Answer 2

Answer: 28ways

Step-by-step explanation:

This has to do with selection i.e selecting 6people from pool of 8 people

Since combination have to do with selection, the selection can be done I'm 8C6 ways

Generally, nCr = n!/(n-r)!r!

8C6 = 8!/(8-6)!6!

= 8!/2!6!

= 8×7 × 6!/2!6!

= 8×7/2!

= 56/2

= 28ways