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Suppose there are 6 non-stop flights from Chennai to Mumbai in the morning and 4 non-stop flights from Mumbai to Goa in the evening. In how many ways
Question

Suppose there are 6 non-stop flights from Chennai to Mumbai in the morning and 4 non-stop flights from Mumbai to Goa in the evening. In how many ways can one fly from Chennai to Goa via Mumbai using these flights in a day?

A.

10

B.

24

C.

464^6​​

D.

646^4​​

Correct option is B

Given:

6 non-stop flights from Chennai to Mumbai (morning)

4 non-stop flights from Mumbai to Goa (evening)

Need to find the number of ways to fly from Chennai to Goa via Mumbai.

Formula:
Total ways = (Number of flights from Chennai to Mumbai) × (Number of flights from Mumbai to Goa)

Solution:

From Chennai to Mumbai: 6 options

From Mumbai to Goa: 4 options

Thus, total ways = 6 × 4 = 24

Final Answer: (b) 24

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