**Question 1:**
A student has $\text{\hspace{0.17em}}8\text{\hspace{0.17em}}$
math books, $\text{\hspace{0.17em}}4\text{\hspace{0.17em}}$
English books and $\text{\hspace{0.17em}}5\text{\hspace{0.17em}}$
history books. In how many ways can this student put the books on the shelf so that books of the same subject would stand together?

**Question 2:**
Five girls and five boys are sitting down on $\text{\hspace{0.17em}}10\text{\hspace{0.17em}}$
chairs one after one. In how many ways they can sit so that boys would sit on the chairs with even numbers and girls - in the chairs with odd numbers?

**Question 3:**
In how many ways can the orders of printing $\text{\hspace{0.17em}}9\text{\hspace{0.17em}}$
different books be distributed to $\text{\hspace{0.17em}}2\text{\hspace{0.17em}}$
factories?

**Question 4:**
There are $\text{\hspace{0.17em}}32\text{\hspace{0.17em}}$
students in a classroom. Each second student exchanged a pen for another one. How many times pens were exchanged?

**Question 5:**
How many different six-digit numbers can be formed out of $\text{\hspace{0.17em}}1,2,3,4,5,6,7\text{\hspace{0.17em}}$? Digits should not repeat and only even digits should be at the beginning and the end of a number.

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