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There are 8 buses running from Kota to Jaipur and 10 buses running from Jaipur to Delhi. In how many ways a Person can travel from Kota to Delhi via Jaipur by bus?

A

80

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B

8

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C

10

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D

160

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Solution

The correct option is A 80
Let $E_{1}$ be the event of travelling from Kota to Jaipur & $E_{2}$ be the event of travelling from Jaipur to Delhi by the person.
$E_{1}$ can happen in 8 ways and $E_{2}$ can happen in 10 ways.
Since both the events $E_{1}$ and $E_{2}$ are to be happened 12 in order, simultaneously,the number of ways $= 8 \times 10 = 80$

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