Question

Verify whether the following hexogonal shapes form a part of the Pascal’s Triangle.

Answer 1

In Pascal’s Triangle product of the 3 alternate numbers given around the hexagon is equal to the product of remaining three numbers.

1 x 13 x 66 = 11 x 1 x 78 

= 858 

∴ It form a part of Pascal’s Triangle.

5 x 21 x 20 = 10 x 6 x 35 

= 2100 

∴ It form a part of Pascal’s Triangle

8 x 45 x 84 = 28 x 9 x 120 

= 30240 

∴ It form a part of Pascal’s Triangle

56 x 210 x 126 = 70 x 84 x 252 

= 1481760 

∴ It form a part of Pascal’s Triangle