# 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.

### Correct answer:

**Showing 6 comments:**

**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**

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

8!= 8x7x6x5x4x3x2x1= 40,320

8!= 8x7x6x5x4x3x2x1= 40,320

**Matematik**

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

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