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If say there are 38 balls in a bowl and on each of them is a number ranging from 1 to 38:

The first one you pick will have the possibility of being any one of those 38 balls

The second one will have the chance of being chosen among 37 balls

The third among 36

The fourth among 35

And the fifth among 34, since there is no repetition, meaning you do not put the ball back after you have read the number on it.

So the number of possibilities of the different number sequences (ex: 02 , 33 , 14 , 28 , 12) is 38 x 37 x 36 x 35 x 34 = 60 233 040

There are over 60 million different possibilities of number sequences.

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Q: You have five numbers are to be picked without repetition from 38 numbers to determine the winner of a lottery game how many different ways can a winning quintuple be selected?
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