MHB Winning the Lottery: Calculating Probabilities of 6 Numbers Out of 34

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To win a lottery by selecting 6 numbers from a pool of 34, the total number of combinations can be calculated using the formula for combinations, which is 34 choose 6. This results in 134596 possible combinations. If you purchase one lottery ticket, the probability of winning is 1 in 134596, or approximately 0.00000746. Participants are encouraged to share their progress or initial thoughts to facilitate better assistance from others. Engaging in this way helps streamline the problem-solving process.
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In a certain lottery, you must select 6 numbers (in any order) out of 34 correctly to win.
a.) How many ways can 6 numbers be chosen out of 34 numbers?
b.) You purchase one lottery ticket. What is the probability of winning?
 
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We ask that our users show their progress (work thus far or thoughts on how to begin) when posting questions. This way our helpers can see where you are stuck or may be going astray and will be able to post the best help possible without potentially making a suggestion which you have already tried, which would waste your time and that of the helper.

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Thread 'Erroneously finding discrepancy in transpose rule'

Thread 'Erroneously finding discrepancy in transpose rule'

Obviously, there is something elementary I am missing here. To form the transpose of a matrix, one exchanges rows and columns, so the transpose of a scalar, considered as (or isomorphic to) a one-entry matrix, should stay the same, including if the scalar is a complex number. On the other hand, in the isomorphism between the complex plane and the real plane, a complex number a+bi corresponds to a matrix in the real plane; taking the transpose we get which then corresponds to a-bi...
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