Question

There are 6 different presents and 5 children. How many ways can at least 1 present be given to each child?

Answer 1

6C5*5!+6C5*5!*5 ... perhaps

Answer 2

Not permutations?

Answer 3

@mridrik Do you know about Stirling number of second kind?

Answer 4

I did 6 different for first person x 5 diff for next x 4 x 3 x 2, then the last present has 5 different people to go to so times 5 again?

Answer 5

no i do not know what that is

Answer 6

Okay, undergrad student I suppose?

Answer 7

8th grade

Answer 8

Oh lol. Where do you get this problem from?

Answer 9

state mathcounts test. Is my answer right? 3600?

Answer 10

what is stirling number of second kind?

Answer 11

I am getting 1800.

Answer 12

Where is satellite?

Answer 13

How did you get 1800?

Answer 14

n distinct object into r distinct groups at-least one in each group is consistent to counting the surjection from a set of n elements to a set of r elements.

But this is probably a bit hard for you to understand. There might be a pedestrian way of doing this which I can't think of now.

Answer 15

looks my answer was 4320 ... i might have misunderstood the question. since i am always prone to.

Answer 16

at first i got that

Answer 17

why doesnt the way i did it work?

Answer 18

so ... whats does the question exactly say, 6 presents or 6 different types of present??

Answer 19

I really wish if I am reading something wrong :( It's a bit harder for a 8th grader.

Answer 20

it is i believe ... i never could do those even in my undergrad.

Answer 21

There must be a pedestrian way of doing this. I am fairly confident about my answer.

Answer 22

@myinaya: Am I missing something?

Answer 23

@myininaya

Answer 24

6 different presents, 6 total presents

Answer 25

let's draw a diagram