If you assume that a pair of rabbits produces 6 offspring and that half are male and the other half female and each pair breeds only once, how many will be produced each year for five years?

Respuesta :

The number of rabbits generated is 6 ,18 , 54 , 162 , 486

What is Permutation and Combination ?

A permutation is an act of arranging the objects or numbers in order.

Combinations are the way of selecting the objects or numbers from a group of objects or collection, in such a way that the order of the objects does not matter.

If there are 6 offspring, with 3 male and 3 female, then there are 3 pairs.

If each pair produces 6 offspring then there will be 18.

That then makes 9 pairs.

That would be 54 rabbits or 27 pairs.

If each of the 27 pairs produce 6 offspring there would be 162 offspring.

This would leave 81 breeding pairs, and so on

Therefore following numbers of Rabbits will be generated

For 1st year 6

For 2nd year 18

For 3rd year 54

For 4th year  162

For 5th year 486

To know more about Permutation and Combination

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