Maths-
General
Easy

### Hint:

We are provided with 8 flags of different colours and  5flags. We need to find the total number of signals that can be made by the number of arrangements of  flags by taking 5flags at a time. Arranging things is called permutation, thus we can clearly say that the given question is based on the topic “permutation”. Here we have to arrange flags taken 5flags at a time which is equivalent to filling 8flags placed out of 5flags. For that we have the formula of permutation:

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#### Detailed solutionWe have been told that there are 8flags of different colours by taking 5flags at a time. Thus the total number of flags n=8and flags to be taken at a time r=5By applying the permutation formula  = Thus, the number of different signals that can be made by 5 flags from 8 flags of different colours is 6720.

Each of the different arrangements which can be made by taking some or all of a number of things at a time is called permutation. The number of permutation without any repetition states that arranging n objects taken r at a time is equivalent to filling r places out of things =n(n1)(n2)......(nr1ways =

Thus we can say that the permutation concerns both the selection and the arrangement of the selected things in all possible ways.

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