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A person is to walk from A to B. However, he is restricted to

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A person is to walk from $A$ to $B$ . However, he is restricted to walk only to the right of $A$ or upwards of $A$ , but not necessarily in the order shown in the figure. Then find the number of paths from $A$ to $B$ .

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A person is to walk from

A

B

. However, he is restricted to walk only to the right of

A

or upwards of

A

, but not necessarily in the order shown in the figure. Then find the number of paths from

A

B

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Text solutionVerified

In givem figure

Total number of squares in right of A and upwards A

= 5 + 4 = 9

Number of ways possible from A to B by edges upwards of A

=^{9} C_{5} = \frac{9 !}{5 ! 4 !} = \frac{9 \times 8 \times 7 \times 6}{4 \times 3 \times 2 \times 1} = 126

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Question Text	A person is to walk from $A$ to $B$ . However, he is restricted to walk only to the right of $A$ or upwards of $A$ , but not necessarily in the order shown in the figure. Then find the number of paths from $A$ to $B$ .
Answer Type	Text solution:1
Upvotes	150