In the word "SASSAFRAS", there 2520 permutations can be formed.
<h3>Permutation : </h3>
A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters.
The order of arrangement in permutation is in linear form.
In the given word is “SASSAFRAS”. There are total 9 letters in which some letters appears several times, that is
S = 4 times.
A = 3 times.
F = 1 times.
R = 1 times.
We can the number of permutation to arrange this letter with the help of :
<em>nPr = n</em>! / (<em>n </em>- <em>r</em>)!
<em>n</em>P<em>r</em> = Permutation
<em>n</em> = Total number of objects
<em>r</em> = Number of objects selected
'!' = Factorial
<h3>Factorial : </h3>
Factorial (noted as “!”) is the product of all positive integers less than or equal to the number preceding the factorial sign. For example, 3! = 1 x 2 x 3 = 6.
So, <em>n</em>P<em>r </em>= 9!/(4!) (3!) (1!) (1!)
= (9×8×7×6×5×4×3×2×1)/(4×3×2×1)×(3×2×1)×(1)×(1)
= 3,62,880/ 24×6×1×1
= 3,62,880/144
= 2,520
Hence, 2520 permutations can be formed from the word 'SASSAFRAS'.
To learn more about Permutation visit :
brainly.com/question/14767366
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