Suppose a designer has a palette of 14 colors to work with, and wants to design a flag with 2 vertical stripes, all of different colors.
how many possible flags can be created?

  182

Step-by-step explanation:

The number of permutations of 14 things taken 2 at a time is ...

  14P2 = 14·13 = 182

The first color can be any of the 14 on the palette. The second color must be different, so can be any of the remaining 13.

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We assume that a "yellow/red" flag is different from a "red/yellow" flag. That is, order matters.

the population of other specie of birds will decline or other specie of birds will find some alternate source of food to survive.

explanation:

according to the competitive exclusion principle, which is also known as gause's law, two specie living in the same niche and feeding on the same resource cannot co-exist stably.

as we have well studied the theory of natural selection which states that only those organisms survive which have better tendency to compete for food and adapt to the environmental conditions.

coming towards the question, what wi ll happen when one species outcompetes the other for the small fish , the other specie will not get enough food and will start to die or decline in population. eventually either other specie needs to find another alternative food source for itself or migrate at some other location where there is less competition otherwise it will just not exist anymore at that niche.

hope it !

current in the circuit at time t is /, then the power delivered to the resistor is

step-by-step explanation: