CRE 10 - Geometry based questions | Modern Math - Permutation & Combination

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Answer the next 2 questions based on the information given:

Out of 15 points on a plane 5 are collinear, except which no other set of 3 points is collinear. By joining these points:

1. CRE 10 - Geometry based questions | Modern Math - Permutation & Combination

How many straight lines can be formed?

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2. CRE 10 - Geometry based questions | Modern Math - Permutation & Combination

How many triangles can be formed?

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Answer the next 4 questions based on the information given:

In the given 8 × 8 grid:

3. CRE 10 - Geometry based questions | Modern Math - Permutation & Combination

Find the number of squares.

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4. CRE 10 - Geometry based questions | Modern Math - Permutation & Combination

Find the number of rectangles.

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5. CRE 10 - Geometry based questions | Modern Math - Permutation & Combination

Find the number of ways in which a person can travel from A to C, if the person can only travel on a grid line either towards the right or upwards.

(a)
16!
(b)
$\frac{16!}{8! \times 8!}$
(c)
¹⁶C₈
(d)
None of these

6. CRE 10 - Geometry based questions | Modern Math - Permutation & Combination

Find the number of ways in which a person can travel from A to B via C, if the person can only travel on a grid line either towards the right or upwards.

(a)
$\frac{{(8!)}^{2}}{{(4!)}^{4}}$
(b)
$\frac{16!}{8! \times 8!}$
(c)
8! × 8!
(d)
None of these

7. CRE 10 - Geometry based questions | Modern Math - Permutation & Combination

Find the number of ways in which a person can travel from A to B without going via C, if the person can only travel on a grid line either towards the right or upwards.

(a)
$\frac{{(8!)}^{2}}{{(4!)}^{4}}$
(b)
16! - 8!
(c)
$\frac{16!}{8! \times 8!} - \frac{{(8!)}^{2}}{{(4!)}^{4}}$
(d)
None of these

Answer the next 2 questions based on the information given:

There are 10 straight lines on a plane. Find the

8. CRE 10 - Geometry based questions | Modern Math - Permutation & Combination

Minimum number of bounded and unbounded regions on the plane.

(a)
0 and 0
(b)
0 and 11
(c)
10 and 11
(d)
None of these

9. CRE 10 - Geometry based questions | Modern Math - Permutation & Combination

Maximum number of total regions on the plane.

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10. CRE 10 - Geometry based questions | Modern Math - Permutation & Combination

Minimum number of bounded and unbounded regions on the plane.

(a)
10 and 36
(b)
28 and 28
(c)
36 and 20
(d)
None of these

CRE 10 - Geometry based questions | Modern Math - Permutation & Combination

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