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1.
If 
denotes the number of combinations of 
things takes 
at a time, then the expression 
, equals
denotes the number of combinations of things takes at a time, then the expression , equals
2.
If 
where 
, then the ordered pair (
) is
where , then the ordered pair () is
3.
The number of diagonals that can be drawn by joining the vertices of an octagon is
4.
A father with 8 children takes 3 at a time to the zoological garden, as often as he can without taking the same 3 children together more than once. The number of times he will go to the garden, is
5.
If 
, then 
is equal to
, then is equal to
6.
The number of ways in which ties can be selected from a rack displaying 
different ties is
ties can be selected from a rack displaying different ties is
7.
The number of permutations of 4 letters that can be made out of the letters of the word EXAMINATION is
8.
The number of ways in which 5 boys and 5 girls can be seated for a photograph so that no two girls sit next to each other is
9.
The number of diagonals of a polygon of 20 sides is
10.
The value of 
is equal to
is equal to