# Mathematics Q.3

Discrete Mathematics Level pending

There is a group of 6 Persons. They Play a game in which each has to select a positive integer from 1 to 4.

Let $${ A }_{ n }$$ is the event that n persons have selections of same number, And the value of $$P\left( { A }_{ 5 } \right) +P\left( { A }_{ 6 } \right) =\frac { p }{ q }$$.

Then Find $$p+q$$

Note

• $$P\left( K \right)$$ Denotes the probability of Event $$K$$.

• $$GCD\left( p,q \right) =1$$

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