Latest TCS Aptitude Question SOLUTION: This is how Edward’s Lotteries work. First, 9 different numbers are selected. Tickets with exactly 6of the 9 numbers randomly selected are printed such that no two tickets have t

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This is how Edward’s Lotteries work. First, 9 different numbers are selected. Tickets with exactly 6of the 9 numbers randomly selected are printed such that no two tickets have the same set of numbers.Finally, the winning ticket is the one containing the 6 numbers drawn from the 9 randomly. There is exactly one winning ticket in the lottery system. How many tickets can the lottery system print?

Asked In TCS Garima (11 years ago)

Solved chaitanya Read Solution (2)

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chaitanya  (11 years ago)

The only condition is that the winning ticket has the same set of numbers as the drawn numbers (inwhatever order).
Hence, order is not important. Now, count the combinations.Since the numbers in the base set (9 numbers) are different, the base set does not have in distinguishable objects.
Six of the 9 different numbers are selected by the lottery system, so no repetitions are allowed.By Formula 3, the formula for combinations with no repetitions and no indistinguishable objects,

the number of possible selections by the lottery system is
9C6.



Since only one winning ticket (winning combination) exists per lottery system, there is of 9C6 tickets per lottery system.

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Pooja.m.m  (11 years ago)

since no 2tick shuld hv same set of numbers so v use combination formula.
so it is nCr i,e 9C6=9!/(3!6!)=84.

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