= 1 is correct because mathematicians agreed to define it that way (nothing more and nothing less) in order to be consistent with the rest of mathematics. = 1 2! = 4!/4 3! Seymour, 69, clarifies remark on being able to play 25 *4 4! = 3*2. For the equation to be true, we must force the value of zero factorial to equal 1, and no other. So yes, 0! $\begingroup$ However, there just happens to be another reason why 0 factorial is equal to 1, aside from the fact that there is one possible permutation for zero. Suppose that we had n objects, for which we wished to permute into n number of places. Sleuths find Utah monolith, but mystery remains. Usually n factorial is defined in the following way: n! = 6 4! From the permutation formula, we could deduce that the number of permutations for n objects into n places would equal n!/0!. as a product involves the product of no numbers at all, and so is an example of the broader convention that the product of no factors is equal to the multiplicative identity (see Empty product). Easy answer: It's defined that way to make a lot of things work right. The factorial of 0 is 1, or in symbols, 0! 3 4 5. Top Answer. Why and how 0 factorial is 1? Answer. Anonyme. To express a factorial, an exclamation point is placed after the number. = 2 3! = 2! Top Answer. 2009-10-26 12:18:14 2009-10-26 12:18:14. 5 6 7. = 1 ? By example: 6! *3 3! Factorial is a function that acts as an instruction to multiply all whole numbers from the chosen number down to 1. = 1*2*3*...*n But this definition does not give a value for 0 factorial, so a natural question is: what is the value here of 0! Répondre Enregistrer. *2 2! Meilleure réponse. Before the answer to 0 factorial or “0!” is discussed, it’s first essential to understand what are factorials. The factorial n! = 24 We can turn this around: 4! (zero factorial) 1 not zero? = 1. Why is factorial of 0 is 1? We know that: 1! Pertinence. 9 réponses. = 3! 2009-12-29 09:37:16 2009-12-29 09:37:16. For example, let's say I ask you how many ways are there to choose a group of 9 people out of 9. = 24 3! = 1! Why does 0! Il y a 1 décennie. Otherwise, 1!≠1 which is a contradiction. Wiki User Answered . There are several motivations for this definition: For n = 0, the definition of n! with n>1, is n*(n-1)*(n-2)*…*2(*1). Why is 0! If you assume that order doesn't matter (i.e. = 1 is by working backward. Asked by Wiki User. ? A first way to see that 0! Asked by Wiki User. For example, if someone was to solve four factorial (also written as 4! 0! Answer. = 6 2! Wiki User Answered .

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