# STRESSED word

Each letter in STRESSED is printed on identical cards, one letter per card, and assembled in random order. Calculate the probability that the cards spell DESSERTS when assembled.

p =  0.0298 %

### Step-by-step explanation:

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Help
where does 3! and 2! come from?

Dr Math
some characters are repeated: 3xS + 2xE; so there is no difference between first second and third S or 1st or 2nd E char.

Math student
How did you get 3360

Math student
dividing the factorials of 8!= 40,320 / 3!= 6 x 2!=2 so 40,320/12=3360
8!= 8x7x6x5x4x3x2x1= 40,320

Math student
why is n1 = 1?

Matematik
n1 is the count of positive card (word DESSERTS) -> only one. n2 are the count of all combinations

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