Let them eat cake

For the first ingredient you put in the bowl, you have $5$ different choices.

Now we have $4$ ingredients to put in the bowl. For each of the $5$ initial situations we have $4$ choices each of what the second ingredient could be. So now we have $5 \times 4 = 20$ possibilities.

Now we have $3$ ingredients to put in the bowl. For each of the $20$ previous situations we have $3$ choices each of what the third ingredient could be. So now we have $20 \times 3 = 60$ possibilities.

Now we have $2$ ingredients to put in the bowl. For each of the $60$ previous situations we have $3$ choices each of what the third ingredient could be. So now we have $60 \times 2 = 120$ possibilities.

Now we have $1$ ingredient to put in the bowl. We have no choice but to put it into the bowl. So we still have $120$ possibilities.

The result is an equation like this: $5 \times 4 \times 3 \times 2 \times 1 = 120$ , or better put, $5! = 120$ .

Whichever one of these $120$ orders we choose, let's hope it tastes yummy!

There are $5$ different ingredients.
At first we have $5$ options to add ingredients.Secondly we have $4$ options to add ingredients.Thirdly we have $3$ options to add ingredients.Fourthly we have $2$ options to add ingredients.At last we have $1$ option to add ingredient.
So,We can add ingredients ( $5\times 4\times 3\times\ 2\times 1$ ) different orders.
SO,The answer is $5!$ = $\boxed{120}$

The answer is $5!$ = $120$

the answer is 5! = (5 x 4 x 3 x 2 x 1) = 120

Since,a recipe is constituted with 5 ingredients,1st ingredient can be chosen in 5 different ways,second one in 4 ways,third one in 3 ways,fourth one in 2 ways and last one in a unique way.....thus altogether,5.4.3.2.1=120

There are 5 different ingredients.

So, The number of different orders can add the ingredients to the bowl is $5!$

or, $5 * 4 * 3 * 2 * 1 = 120$

That's it!! :-)

5! = 5 x 4 x 3 x 2 x 1

the formula applied in this question is n! <BR>so, the answer is 5! = (5 x 4 x 3 x 2 x 1)= 120

Many different order of 5 different ingredients is permutation of $5$

$5!=5\times4\times3\times2\times1$ $5!=120$

The answer is 5! = 120

Factorial of 5=120

$P_n = n! \\\\ P_5 = 5! \\\\ \boxed{P_5 = 120}$

Answer is 120

$5!=120$

5!=120

itis just 5.4.3.2.1=120

5!