Question

Create and come up with a permutation problem and a combination problem that equals to 819

Answer 1

Factorising 819, we get 819 = 13*7*3*3

For combination problem,

Let us take an example where there are 14 different types of sweets packets, 3 different types of chocolate packets and 3 different types of Dry fruits packets.

Now, we need to choose 2 sweet packets and 1 each of chocolate and dry fruits packet.

Thus, the number of different combinations of packets will be equal to 14C2 * 3C1 * 3C1 = 819

For permutation problem,

Let us consider a game where you need to choose one card each from the 3 boxes.

The first box consists of 13 cards with alphabets A,B,.....,L,M written on it.

The second box with 9 cards written alphabets A,B,.....,I

The third box with 7 cards written alphabets A,B,.....,G

There is a lottery prize depending on the order of the alphabets chooses.

Thus, a total of 13*9*7 = 819 different permutations of the alphabets can be achieved.