If $6$ straight lines be drawn in a plane such that no two of them being parallel and no three of them being concurrent, the maximum number of regions into which this plane will be divided

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Important Questions on Permutations & Combinations

MEDIUM

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 19 - SNAP>CMAT>Q 29

If a plane is divided into

22

distinct regions, find the minimum number of coplanar lines which divide this plane in such a way that neither two lines are parallel nor any three lines are concurrent.

EASY

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 19 - SNAP>CMAT>Q 30

The maximum number of disjoint regions that can be formed in the plane by

n

simple closed curves which pair-wise meet in at most two points is

MEDIUM

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 19 - SNAP>CMAT>Q 31

If there are

6

points on the circumference of the circular sheet, find the maximum possible number of triangular regions that can be cut out of the circular sheet such that none of the vertices of these triangles are the points of the circumference.

EASY

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 19 - SNAP>CMAT>Q 45

Solve these problems independently of each other.

Find the total number of squares and total number of rectangles, respectively, in the given figure. The main figure itself is a square.

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