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rbed group of mathematicians will only allow other mathematicians to join their

ID: 3146153 • Letter: R

Question

rbed group of mathematicians will only allow other mathematicians to join their group itf contains the exact same S digits as the the person's birthdate (month, day, and year) as an 8 digit value founding member, whose birthdate is 07-09-1963. A new mathematician seeks to join and notes their birthday is 06-30-1979, and because the digits are the same, is permitted membership. Assuming the dash marks play no role in the determination, how many different birthdate combinations permit membership, assuming age plays no role (that is, someone might be inducted posthumously, well a death, or would be permitted even if not born yet.) NOTE: you do have to consider what dates and months are possible in coming up with your response.

Explanation / Answer

there are 8 number in total with 2 0s and 2 9s repeating

we have to find the number of ways this can be arranged

= 8! /(2!*2!)

= 10080


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