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1 vote
In a State lottery, how many different combinations of 6 numbers can be obtained from a total of 46 numbers? b) In how many different sequences can we select 10 racecars out of 36 racecars?

1 Answer

5 votes

SOLUTION (a)

There are 46 numbers and to select a combination of 6 numbers

Hence, we have a combination


^(46)C_6
^nC_x=(n!)/((n-x)!x!)

Then applying the formula for combination above we have


^(46)C_6=(46!)/((46-6)!6!)=(46!)/(40!6!)=9366819

Therefore, there are about 9366819 six numbers

User Robert Weindl
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