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# John must arrange 3 different physics books and 3 different mathematic

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Re: John must arrange 3 different physics books and 3 different mathematic [#permalink]
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First Place, is reserved for Math book. There are 3 Math books which can be arranged in 3 ways

Restriction comes into play hysics book cannot be together. Hence, the math & the physics books take alternate places

Second Place, Physics Book - in 3 ways
Third Place, Math Book - in 2 ways (only 2 books left)
Fourth Place, Physics - in 2 ways (only 2 Physics book left)
Rest two places can be arranged in one way only.

Total no of ways = 3*3*2*2*1*1 = 36 ways
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Re: John must arrange 3 different physics books and 3 different mathematic [#permalink]
leftmost is reserved for math book so the pattern is M _M_M_
consider maths book first,,they can be placed in 3*2*1 =3! ways
then, physics book can be placed in 3! ways
total ways = 3! *3! = 36
option c
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Re: John must arrange 3 different physics books and 3 different mathematic [#permalink]
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Re: John must arrange 3 different physics books and 3 different mathematic [#permalink]
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