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
Tips for related online calculators
Our percentage calculator will help you quickly calculate various typical tasks with percentages.
See also our combinations with repetition calculator.
Would you like to compute the count of combinations?
See also our permutations calculator.
See also our variations calculator.
See also our combinations with repetition calculator.
Would you like to compute the count of combinations?
See also our permutations calculator.
See also our variations calculator.
You need to know the following knowledge to solve this word math problem:
Related math problems and questions:
- Closer to one
Here are two sums: A=1/2 + 1/3 and B=1/5 + 1/3. Which of the two sums is closer in value to 1? You must show your work and state clearly whether the answer is A or B. - NYC block
Bijan wants to go running during his family's vacation to New York City. To do so, he will run a neighborhood block 20 times. Bijan runs a total of 8 miles. The block has a length of 3/20 miles. Use the formula for the perimeter of the neighborhood block - Richard
Richard is conducting an experiment. Every time he flips a fair two-sided coin, he also rolls a six-sided die. What is the probability that the coin will land on tails and the die will land on an even number? - Locker combination
Todd forgot the first two numbers of his locker combination. The numbers can be any number 1 through 6. What is the probability that he will guess the first number correctly and the second number incorrectly?
- Multiply mixed
What is six-eighths times five? Your answer should be in mixed number form. Some hints: one and ten-thirtieths three and six-eighths six and four-sixths nine and three-fifths - Mixed numbers equation
4 5/9 is the same as the sum of 2 1/3 and 5/6 times a number. What is the number? Enter your answer as a mixed number in simplest form in the box. - Saravanan
Saravanan's father bought 2 3/4 m, 2 1/2 m, and 1 1/4 m of cloth. What was the total length of the cloth he bought? - Negative mixed number 2
What is the product of 1 1/2 and -1 1/4? Enter your answer as a mixed number, in simplest form, in the box. - Monthly expenses
John's monthly expenses are analyzed as follows: 1/8 for stationery, 1/3 for fuel, 1/6 for parking, and the rest for food. His total expenses are 4500. Calculate the rand value of the food expenses.
- 13 times
1/3 times the sum of a number, and 2.6 is 4.9. What is the number? Enter your answer as a simplified mixed number in the box. - A park on map
A park has an area of ⅙ mi². On a map, the park has an area of 1 ¼ cm². On the map, how many square centimeters represent 1 mi²? - Identify improper fraction
How do you identify improper fractions? Which is improper: A) 3/4 B) 32/15 C) 3/9 D) 2 2/11 - Vidya
Vidya and Peter went for a picnic. Their mother gave them a 5-liter water bottle. Vidya consumed 2/5 of the water, and Peter consumed the remaining water. How much water did Vidya drink? How much water did Peter drink? - Percentage and fractions
Determine the correct answer by reasoning and calculating mentally. Write 46% as a fraction. ...