CAT 2019 Shift 1 Paper

Question : 91 of 100

Marks: +1, -0

With rectangular axes of coordinates, the number of paths from(1,1) to (8,10) via (4,6), where each step from any point (x, y) iseither to (x, y+1) or to (x+1, y), is

Your Answer:

Validate

Solution:

Let

A, B

and

C

represent the coordinates (1,1),(8,10) and (4,6) respectively.

The number of ways to go from

{A}

{B}

via

{C}=(

The number of ways to go from

{A}

{C}) ×(

The number of ways to go from

{C}

{B}

)

={ }^{8} C_{5} ×{ }^{8} C_{4}=3920

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