making the plunge - name, location, form of business math quiz\nquestion 4 of 10: as a huge math fan, you…

making the plunge - name, location, form of business math quiz\nquestion 4 of 10: as a huge math fan, you think it would be fun to have a prime number of partners in your business (including yourself) and at least 3 partners. if every partner gets one vote on major decisions, can a vote ever end in a tie (2 - way, 3 - way, 4 - way, etc.)?\n a) yes\n b) no\nsubmit

making the plunge - name, location, form of business math quiz\nquestion 4 of 10: as a huge math fan, you think it would be fun to have a prime number of partners in your business (including yourself) and at least 3 partners. if every partner gets one vote on major decisions, can a vote ever end in a tie (2 - way, 3 - way, 4 - way, etc.)?\n a) yes\n b) no\nsubmit

Answer

Explanation:

Step1: Recall prime number properties

Prime numbers greater than 2 are odd. The only even - prime number is 2. Since we need at least 3 partners and a prime number of partners, the number of partners (n) is an odd number ((n\geq3) and (n) is prime).

Step2: Analyze tie - voting situations

A tie occurs when the number of votes for one side is equal to the number of votes for the other side. For a tie to happen in a vote, the total number of voters (partners) must be an even number. For example, in a 2 - way tie, if the number of partners is (n), we need (n = 2k) (where (k) is a positive integer) so that (k) partners can vote one way and (k) partners can vote the other way. But since the number of partners is an odd prime number ((n\geq3)), a tie cannot occur.

Answer:

b) No