Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
in how many ways can 5 prizes be given away to 3 boys when each boy is eligible for one or more prizes..?
 one year ago
 one year ago
in how many ways can 5 prizes be given away to 3 boys when each boy is eligible for one or more prizes..?
 one year ago
 one year ago

This Question is Open

nicolebearsBest ResponseYou've already chosen the best response.0
dw:1352712893295:dw
 one year ago

mayankdevnaniBest ResponseYou've already chosen the best response.0
Any one prize can be given to any one of the 3 boys and hence there are 3 ways of distributing each prize. Hence, the 4 prizes can be distributed in 3^4= 81 ways.
 one year ago

AperogalicsBest ResponseYou've already chosen the best response.0
@mayankdevnani there are 3 boys so first boy can have 1,2 or 3 prizes now for 3,1,1 we have 3ways(3,1,1),(1,3,1),(1,1,3) now for 2,2,1 we have 3 ways(2,1,2),(2,2,1),(1,2,2) so only 6 ways to distribute:)
 one year ago

nivas1811Best ResponseYou've already chosen the best response.0
@mayankdevnani,@Aperogalics : there are five prizes so there are 3^5 ways to distribute the prizes...
 one year ago

AperogalicsBest ResponseYou've already chosen the best response.0
@nivas1811 sry in 3^5 a case comes where 5 prizes are given to one person but you wrote that each boy is eligible for one or more prizes.. so no prize case is eliminated :)
 one year ago

AperogalicsBest ResponseYou've already chosen the best response.0
and if one prize is given away then how same can be given to other:)
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
let 1st guy get x prizes, 2nd one y and third one z we are given x+y+z = 5 where x>=1 y>=1 z>=1 we can write the eqn as (x1) + (y1) + (z1) = 2 where now each term inside bracket >=0 it has a direct formulla now for integral solutions of the eqn,,who's background isnt much complex and i can tell you if you desire.. ans would be 4C2 or 6
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.1
formulla is for x1 + x2 + x3 .... xr = n integral solutions is (n+r1 , r1) given that each x1,x2... is >=0
 one year ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.