JAMIA 2023 — Mathematics PYQ

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Question

JAMIA 2023 — Mathematics PYQ

JAMIA | Mathematics | 2023

There is direct flight from trichy to New Delhi and 2 direct trains. There are 6 train from Trichy to Chennai and 4 train from Chennai to delhi. Also, there are 2 trains from Trichy to Mumbai and 8 flights from Mumbai to New Delhi. In how many ways can a person travel from Trichy to New Delhi?

Choose the correct answer:

Explanation

1. Direct Routes (Trichy $\to$ New Delhi)

There are direct flights and direct trains available.

Direct flights = $1$
Direct trains = $2$
Subtotal for direct routes = $1 + 2 = 3$

2. Via Chennai (Trichy $\to$ Chennai $\to$ New Delhi)

To travel through Chennai, we use the principle of multiplication because the person must take a train to Chennai and then a train to Delhi.

Trichy to Chennai = $6$ trains
Chennai to Delhi = $4$ trains
Subtotal via Chennai = $6 \times 4 = 24$

3. Via Mumbai (Trichy $\to$ Mumbai $\to$ New Delhi)

Similarly, for the route through Mumbai:

Trichy to Mumbai = $2$ trains
Mumbai to New Delhi = $8$ flights
Subtotal via Mumbai = $2 \times 8 = 16$

Total Number of Ways

Now, we add the subtotals of all independent paths together:

\text{Total Ways} = (\text{Direct}) + (\text{Via Chennai}) + (\text{Via Mumbai})

\text{Total Ways} = 3 + 24 + 16

\text{Total Ways} = 43

Final Answer:

There are $43$ ways a person can travel from Trichy to New Delhi.

Choose the correct answer:

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