Question

the number of arrangements can be made taking 4 letters at a time out of the letters of the word PASSPORT

Answer 1

P,A,S,O,R,T
P S

Answer 2

case1) no repeating letters
case2)repeating Ps only
case3)repeats S only
case4)repeating P and s

Answer 3

case1)=6!
case2)=5*4*(4choose2)
case3) =5*4*(4choose2)
case4) = (4 choose 2)

Answer 4

In the case one, should't it be 6 x 5 x 4 x 3 and not 6 ! and can you please explain the last case?

Answer 5

@dan815

Answer 6

that should be 6*5*4*3 yes thats a mistake

Answer 7

the last case we are looking at P,P,S,S how many ways to arrange that

Answer 8

thats 4!/(2!2!)

Answer 9

And in case 2 and 3 it will be like : 5 x 4 x 4!/2! x 2! ?
Why 4!/2! x 2! ? ( that will be similar as case 4 then? @dan815

Answer 10

yeah because

Answer 11

uh its too much to explain typing =.=

Answer 12

just think about it lol