Question

In how many ways can 7 mathematics books , 8 statistics books and 4 accountancy books can be arranged in a shelf so that mathematics books always together​

Answer 1

Answer:

math]Ans: \boxed{103,680}[/math]

Let us treat the [math]5[/math] mathematics books as one, the [math]4[/math] science books as one and the [math]3[/math] english books as one.

So, we have [math]3[/math] books that can be arranged among themselves in [math]3![/math] ways.

The mathematics books can be arranged among themselves in [math]5![/math] ways, the science books can be arranged among themselves in [math]4![/math] ways and the [math]3[/math] english books can be arranged among themselves in [math]3![/math] ways

[math]\therefore[/math] The total number of ways of arrangement

[math]= 3!5!4!3![/math]

[math]= \left ( 3! \right )^2 4!5![/math]

[math]= \boxed{103,680}[/math].

Step-by-step explanation:

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