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nincompoop
 one year ago
what is a permutation?
nincompoop
 one year ago
what is a permutation?

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UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2permutation <  order matters combination < order doesn't matter

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2it's like a license plate. only the first spot can occupy the letter A

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.0let us provide an example that uses fundamental counting principle

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2Two types of permutation Permutation with repetition A combination lock. It can be 222 Permutation without repetition You're competing at a track and field race. You can only be first,second or third. You can't occupy first and second at the same time

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.0i.e. List all permutations of the letters in the word CAT.

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2that's just a three letter word.

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2wait... three letters... that's 3 x 3 x 3 = 27 if we allow those letters to be repetitive though.

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2but there's no CCAT or anything like that .. that would be 4!/2!

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.0so without repetition, we have: \(3 \times 2 \times 1 \) since we have 3 letters, which corresponds to 3 events. Meaning in our first event, it does not matter if we picked C, A or T. Then for our second event, we have only 2 letters left, because we exclude the first event that occurred; then it follows that we have one event left for the third event.

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.0without repetition: \(\large _nP_n \): number of permutations of "n" things taken "n" at a time. \(\large _nP_n = n! \)

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.020 people are running for an office in an election. In how many ways can you choose a President (P), Vice President (VP), and Secretary (S).

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.0\(\sf P:20; VP: 19; S:18\) \(20 \times 19 \times 18 = 6840\) Permutations of "n" elements taken "r" at a time. \(\large _nP_r = \frac{n!}{(nr)!} = \frac{20!}{(203)!} = 6840 \)

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.0The 7digit phone numbers in a city all have 661 as the first three digits. How many different phone numbers are possible?
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