A government land consists of 16 square plots of equal size. If I start from the SW corner and move towards the NE corner (movement is always in the positive direction), in how many different ways can I reach the NE corner?

252

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C
70

Method 1- Unitary method

Consider a 2x2 grid

No. of different paths = (1+ 2x2 +1)

For a 3x3 = (1 + 3x3 + 3x3 + 1) ..

For a 4x4 =( 1+ 4x4 + 6x6 + 4x4 +1) ..

Thus, answer is 70

Method 2- Using SàD

Shortcut:- No of rows=4. number of columns=4.

i.e. using the one zero method, total number of paths= $^{4 + 4} C_{4}$ = 70

Suggest Corrections

Similar questions

Q. 4 persons A, B, C, D are standing at corners of an square of side

^{'} a^{'}

. If they move with speed

v

in such way than A always moves towards B , B always moves towards C, C always moves towards D an D always moves towards A. Find out the following.
(a) At which position they will meet each other?
(b) At what time will they meet?

Q. Four persons

A, B, C

and

D

at the corners of a square of side

X

start moving at a constant speed

V

. Each person maintains a direction towards the person at the next corner. The time the persons take to meet each other is

Q. In the adjacent figure, A, B, C and D are four persons stationed at the four corners of a square piece of plot. From the positions shown in the figure, C and A move diagonally to opposite corners and then walk one side each, clockwise direction and anticlockwise direction, respectively, along the sides. B and D move two sides each clockwise and anticlockwise, respectively.
What is the new position of A?

23 students of a class are arranged in such a way that the front row consists of 15 girls and the second-row consists of 8 boys. The two corner positions of the second-row are reserved for the 2 tallest boys. In how many ways can the students be arranged?

Q. A class photograph has to be taken. The front row consists of

6

girls who are sitting.

20

boys are standing behind. The two corner positions are reserved for the

2

tallest boys. In how many ways can the students be arranged?

Join BYJU'S Learning Program