3 French Hens
The french translation of “Hens” is “Poules”. How many different ways are there to rearrange all the letters in “Poules”?
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Very easy. Just do 6!
There are 6 ways for the first, 5 for the second, .... and 1 for the last. 6!=720.
there are 6 letters . so to rearrange them there are 6! ways = 6x5x4x3x2x1= 720 there fore 720 ways to rearrange " Poules "
There are 6 letters in the word 'poules'. Hence to there are 6! = 720 different ways of arranging the letters.
"Poules" have 6 letters, so all the posible ways that the word can be rearranged are 6! = 720.
It's simple The fact of the answer is 6! 6×5×4×3×2×1 = 720
It is quite simple.Always the ways of rearrangement of letters in a word is the facorial of number of letters in the word.Hence,here it is number of letters is 6.So the factorial of 6 is 720.Thus the letters of the word could be rearranged in 720 ways.
POULES have 6 distinct characters . so total no. of rearrangements are 6! = 720 . as each character can be used only once.
There are 6 unique letters in the word POULES which can be arranged in 6 ! ways = 720.
since the word "poules"consist of 6 letters and no letter is repeated so different number of ways is 6! = 6 5 4 3 2*1 = 720
There are 6 different letters in the word 'Poules', hence the number of ways to rearrange the letters is 6 ! = 7 2 0 .
since there are no repeats allowed the largest amount of combinations is 6!, or 720
Simple; take out the factorial of 6, which is the number of letters in the word. Factorial of 6 = 6 x 5 x 4 x 3 x 2 x 1 = 720
Number of letters (alphabets) in the word ′ P o u l e s ′ are 7 , therefore the number of possible combinations are 7 ! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 7 2 0
Really sorry made a mistake, the number of letters are actually 6 , so it comes as 6 ! = 6 × 5 × 4 × 3 × 2 × 1 = 7 2 0 .
In the word 'Poules', there are 6 distinct letters and these letters can be rearranged by permuting the 6 letters taken all at a time. So, the letters can be rearranged in = 6 P 6 = 6 ! = 7 2 0 ways.
So, total no. of ways(rearrangements for the word) = 7 2 0
Very simply, a way to find how many ways to arrange n objects is n!, or n factorial. 6! is 6 * 5 * 4 * 3 * 2 * 1 = 720. Therefore: You can arrange the 6 letters in poules in 720 ways. This amazing numberphile video includes a bit more about factorials, particularly 0! http://www.numberphile.com/videos/zero_factorial.html
There are 6 alphabets in the word Poules so, 6! = 6 5 4 3 2*1 =720
POULES has 6 words so there are 6 factorial ways to rearrange this word so 6 5 4 3 2*1=720 ways
6!=720
ther are 6 letters in "poules" , s0 ways of arrangment= 6!= 720
There's 6 alphabet and no alphabet is repeated. So, it's 6!
Number of ways of rearranging a "n" letter word which has no repeated letter=n! Hence, number of ways of arranging poules(6-letters) = 6! = 720
6! = 6 x 5 x 4 x 3 x 2 x 1 = 720
Since there are six distinct letters in "POULES",
the total number of ways to rearrange them is 6 !
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As a simple rule, just remember any word with n distinct letters can be rearranged in n ! ways.
Here "Poules" have all distinct characters, so the number of rearrangements are equal to 6 ! = 7 2 0 .
If, consider the situation where the letters are repeated. Suppose, we have "Popoulleso". Here, the number of rearrangements would be 2 ! × 3 ! × 2 ! 1 0 ! . The denominator terms refer to the number of repetitions of each letters - 'p' and 'l' are repeated twice and 'o' is repeated thrice. Ofcourse, that wouldn't help in this question. I just wrote it as a side note for someone who doesn't confuse it with a word having repeated letters.