Answer :
The evaluation of 12P7 through permutation is 3991680.
This is a question of permutations . The capital letter P is a symbol for permutations. A permutation is a word that describes the number of ways things can be ordered or arranged. In other words , a permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters.
The formula for permutation is P(n,r)=n! (n−r)!
Hence , 12P7 = 12!/(12-7)!
⇒ 12!/5!
⇒ 12×11×10×9×8×7×6×5!/5!
Now , cancelling 5! from both denominator and numerator, we get
⇒ 12×11×10×9×8×7×6
⇒ 3991680
Therefore , the answer is 3991680.
To know more about permutations , go to https://brainly.com/question/1216161
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