How Many Ways Can 3 Different Math Books And 4 Different Physics Books Can Be Arranged On A Shelf If The Math Book Are To Stand Together As Well As Th

How many ways can 3 different math books and 4 different physics books can be arranged on a shelf if the Math book are to stand together as well as the other physics books?

A.(3!)(4!)
B.(3!)(5!)
C.(3!)(4!)(2!)
D.(3!)(4!)+5!

No. of ways math books can be arranged amongst themself

= ^3P_3

No. of ways Physics books can be arranged amongst themself

= ^4P_4

No. of ways in which 2 sets, each of 4 Physics and 3 math books can be arranged

= ^2P_2

Ways of possible arrangements in shelf

= (^3P_3)(^4P_4)(^2P_2)

= (3!)(4!)(2!)


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