Hurry to win a state "a" lottery, one must correctly select 5 numbers from a collection of 50 numbers (one through 50). the order in which the selection is made does not matter. the neighboring state "b" has a lottery where one must correctly select 6 numbers from a collection of 60. which lottery would you rather play? support your choice with mathematical calculations.

To compute how many groups of elements we can extract out of a group of elements, we can use the binomial coefficient:

where the factorial is defined as

So, this is the number of possible quintuplet out of 50 numbers:

Similarly, this is the number of possible groups of six numbers out of 60:

So, you win with a combination out of 2118760 in state A, and with a combination every 50063860 in state B this means that winning in state A is easier with a ratio of

Whichi means that winning in state B is 23 times harder

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step-by-step explanation: