permutation

In how many wayscan the letters of the word PERMUTATIONS be arranged if there are always 4 letters between P and S ?

5 Answers

106
Asish Mahapatra ·

possible positions are 1,6 ... 2,7 ... 3,8 ... 4,9 ... 5,10 ... 6,11 .... 7,12
So there are 14 Permutations of arrangements of P and S..
Now. no of words = 14*10!/2!

13
Двҥїяuρ now in medical c ·

P and S can be in following ways

P****S******
*P****S*****
**P****S****
.
.
.
7 ways and P S has permutation in 2 ways

so total 14 ways

other 10 letters with 2 Ts...total 10!/2!

so ans 14*10!/2!

106
Asish Mahapatra ·

yup same answer!! gud confirmation abhi

13
Двҥїяuρ now in medical c ·

asish...u posted while i was typing....hehe

u type so fast!!!!

13
Двҥїяuρ now in medical c ·

superb...

i write 120 letters per min[3]

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