Reading Comprehension Vol 1

3681

12 Questions
36 Marks
20 Mins

**Calculation:**

As given in the graph below

From (1, 1) to (4, 6)

The path will either go along the x-axis or y-axis

To reach the point (4, 6) from (1, 1), There are several ways which we can get with the help of permutations

⇒ x, x, x, y, y, y, y, y → (8!)/(3! × 5!)

⇒ (8!)/(3! × 5!) = 56 ways

From point (4, 6) to (8, 10)

The path will go either along the x-axis or y-axis

To reach the point (8, 10) from (4, 6), There are several ways which we can get with the help of permutations

⇒ x, x, x, x, y, y, y, y → (8!)/(4! × 4!)

⇒ (8!)/(4! × 4!) = 70 ways

As we to take all the possible cases, Use the (and) rule

56 × 70 = 3920

**∴**** The total number of paths from (1, 1) to (8, 10) via (4, 6) is 3920.**