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Question: A particle is at A(1, 2). It can move either horizontally or vertically by 1 unit in each step. The ...

A particle is at A(1, 2). It can move either horizontally or vertically by 1 unit in each step. The no. of ways can it reach B(4, 6) by travelling in shortest path.

A

7C27C_{2}

B

7!

C

7

D

7C3

Answer

7C3

Explanation

Solution

There are 3 horizontal and 4 vertical steps.

This is similar to arranging 3Hs' and 4V's in 7 places.

No. of ways = 734=7C3\frac{\angle 7}{\angle 3\angle 4} =^{7}C_{3}