Question

three villages A,B,C lie on a highway .There are 10 more routes connecting A&B, eight more road connecting B&C, five more routes connecting and see if B's in between A and C, in how many ways can one go from B to C? from permutations and Combination

Answer 1

Answer:

there are 8indirect roads from B to C and 1 direct road i.e; highway from B to C .

Also,one can go from B to A and then to C.

There are 10indirect and 1 direct roads from B to A and then 5roads from A to C.

this can be done in 11*5=55ways.

In all one can go 55+8+1=64ways.

Answer 2

One can go from B to C in 64 ways.

Step-by-Step Explanation :

From B to C, there are 8 indirect roads and 1 direct road, which is a highway.

It is also possible to travel from B to A and then to C.

From B to A, there are 10 indirect and 1 direct road, followed by 5 roads from A to C.

This can be done in $11*5 = 55$ ways.

In all, one can go in $55 + 8 + 1 = 64$ ways.

Therefore, one can go from B to C in 64 ways.

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