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On the normal chess board as shown, I1, ...

On the normal chess board as shown, `I_1, & I_2`, are two insects whichstarts moving towards each other. Each insect moving with thesame constant speed. Insect `I_1`, can move only to the right or upwardalong the lines while the insect `I_2`, can move only to the left or downwardalong the lines of the chess board. Find the total number of ways thetwo insects can meet at same point during their trip.

A

`((9)/(8))((10)/(7))((11)/(6))((12)/(5))((13)/(4))((14)/(3))((15)/(2))((16)/(1))`

B

`2^(8)((1)/(1))((3)/(2))((5)/(3))((7)/(4))((9)/(5))((11)/(6))((13)/(7))((15)/(8))`

C

`((2)/(1))((6)/(2))((10)/(3))((14)/(4))((18)/(5))((22)/(6))((26)/(7))((30)/(8))`

D

`""^(16)C_(8)`

Text Solution

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The correct Answer is:
A, B, C, D
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