Question

The total number of ways one can arrange 5 math books, 3 physics books, and 2 statistics books on a bookshelf, if no 2 books of the same subject can be placed next to each other, is...

Answer 1

assume the books within each subject are distinct from each other

Answer 2

hold on im looking at it

Answer 3

10!

Answer 4

5choose2 times 2factorial

Answer 5

just 5 choose 2

Answer 6

k

Answer 7

you still there 2be?

Answer 8

alright will u be on for the next 5 mins or so

Answer 9

k thanks

Answer 10

what does 5 permute one mean in words

Answer 11

k im doing it by thinking of it as slots

Answer 12

i get 1200 ways

Answer 13

(5!*5!)/(3!*2!) = 1200

Answer 14

Here's my shot at it

Answer 15

ok this is my reasoning

Answer 16

the only way such a arrangement can be possible is if all the math books are spaced out so there are 2 possible ways this can happen, that the 10 slots start with a math book or end with a math book giving us a total of 5! * 2

Answer 17

then , the remaining 5 slots in between the math books can be taken by the 5 other books in any order

Answer 18

so to correct myself its 5!*5!*2

Answer 19

28800

Answer 20

hey wait phi is right

Answer 21

i missed out on some other possibilities