How many different signals can be made by 5 flags from 8 flags of different colours?

Explanation

The total number of signals is the number of arrangements of 8 flags by taking 5 flags at a time. Hence, required number of signals


`=8_(P_5​)`

`=(8!​)/((8−5)!)`

`=(8!​)/(3!)`

`=(8xx7xx6xx5xx4xx3!)/(​3!)`

`=6720.`