Question

Stuck in this one
In how many ways 5 boys be seated in a row if two of them refused tp sit together?

Answer 1

which 2? is it just 2 that are refusing?

maybe split it up into cases

Answer 2

Ya 2 boys refused to sit together

Answer 3

a bbb k , there are 3! ways to set that up,

b a bb k , there are 2! ways to set that up,

bb a b k , there are 2! ways to set that up,

bbb ak , there are no ways to set that up

bbb ka , there are no ways to set that up

and each way can be flipped around so 2 ways per case

right? or what is my error

Answer 4

The question is there r 5 boys and 5 seats , two the boys refuse to sit together

Answer 5

a bbb k
a bbk b
a bkb b
b abb k
b abk b
b bab k
k bab b
b bba k .... eww, gotta move
b kba b
k bba b
b bbk a .... eww, gotta move
b bkb a
b kbb a
k bbb a

Answer 6

but then the other 3 boys dont care, so they can shift about as needed right?

Answer 7

Ya

Answer 8

so, b1 b2 b3 can be seated in how many orders?

Answer 9

12 ways to order 3 boys is what this boils don to

Answer 10

3! Of three boys

Answer 11

Its statistic qts

Answer 12

12*3! should do it then

Answer 13

Id think so :/

Answer 14

im just tossing ideas, i cant say for sure what approach is the best tho

Answer 15

if we have covered all the ways that the boys will sit, then each sitting has 3! ways to arrange the remaining boys, seems fair to me

Answer 16

Tnx man but i need the correct answer

Answer 17

Appreciate ur help (y)