Question

1. Given 5 people. a) 3 people are selected randomly, how many possible combination? (b) 3 people are selected randomly to form leader team of three(president, vice president, and secretary).How many possible leader teams?. (c) What is the probability that one particular person becomes the president?

Answer 1

a) 5*4*3

Answer 2

Okay no. of ways of selecting three things out of 5 is "5C3". thats for (a)

Answer 3

Yeah got that

Answer 4

So what about b?

Answer 5

now in the second part, you are basically selecting three people and them arranging them. (like putting labels of president, VP and secretary on their heads. how many ways do you do that?)

so that is permutation.

so here 5P3

Answer 6

But isn't it how many possible leader teams ?

Answer 7

how many possible leader teams
=> 3P3 = 3x2x1 =6

Answer 8

oops i didnt read that last part "how many possible leader teams". *face palm* one sec

Answer 9

This is the kind of math that @Mimi_x3 glances at with blank stares.

Answer 10

This is the topic that makes me hyper-ventilate as well. :/

Answer 11

lol

Answer 12

Now C :D

Answer 13

okay i ll forget the rules and go by the basics

hmm, so how many possible leader teams. so what happens is that first we find the no. of ways of selecting the 3-member bozos team. that we did in part "a". and then no. of ways of arranging them in their posts.

so 5C3 * 3 * 2


which is the same as 5P3

Answer 14

it snot how many team leaders. its how many possible teams with different configuration of bozos at doff level.. Now "C"

Answer 15

a) the possible combination=\[5C3\]
b)5p3..here will be arrangement .
c)1/5

Answer 16

No wait shouldn't it be 3P3

why is it 5C3*3*2 ?

Answer 17

probability of selecting a president= probability of choosing him from the bunch into the leader team x probability that he is given the presidential seat.
= 1/5 x 1/3=1/15


thats what i think. i may be wrong

Answer 18

@apoorvk ...here any person may be a president among 5 persons.

Answer 19

i think so. its 5P3 because. first you must select the group of 3 bozos. after that you 'll assign them posts isnt it? making that executive body has some no. of ways. then the no. of ways that the team may be assigned posts. if its already provided that a group of three has been selected, then yes ofcourse among those three can the team arrangements be made, and then only its 3P3

Answer 20

@taufique think this over. yes any one of the 5 may be the president, but first the guy has to be selected into the elite panel, right? so there is probability of that (1 out of 5). (cause he may or may not be selected into that panel). then, when in the panel, he may be a president or not (1 out of 3).

Answer 21

@diya clear hai? ya aur sprite pilaaoon? =]

Answer 22

@apoorvk the three persons has been selected from 5 persons.

Answer 23

Hmm okayy !! Got it!!
Thankssss @apoorvk
I'll think about second one lol

Answer 24

Its never been mentioned that 3 people have been already selected @taufique . read again

diya, yeah do that. pondering over it will help you get clear (why 3P3 or 5P3). or if you have an answer in the book, post that.