# Calculation of CN

Calculate:

$\left(\genfrac{}{}{0px}{}{789}{786}\right)-\left(\genfrac{}{}{0px}{}{789}{3}\right)$

Correct result:

x =  0

#### Solution:

$\left(\genfrac{}{}{0px}{}{789}{786}\right)-\left(\genfrac{}{}{0px}{}{789}{3}\right)=\frac{789!}{786!3!}-\frac{789!}{3!786!}=0$

We would be pleased if you find an error in the word problem, spelling mistakes, or inaccuracies and send it to us. Thank you!

Tips to related online calculators
Would you like to compute count of combinations?

## Next similar math problems:

• Research in school
For particular research in high school, four pupils are to be selected from a class with 30 pupils. Calculate the number of all possible results of the select and further calculate the number of all possible results, if it depends on the order in which th
• Probability of failures
In certain productions, the probability of failures is 0.01. Calculate the probability that there will be more than 1 failure among the 100 selected products if we return the selected products to the file after the check.
• Alopecia
Medical literature indicates that 45% of men suffer from alopecia. For random sample of 8 men, calculate the probability that: (a) exactly four men suffer from alopecia. (b) at most two men suffer from alopecia.
• Elections
In elections candidate 10 political parties. Calculate how many possible ways can the elections finish, if any two parties will not get the same number of votes.
• 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.
• One dice
Calculate the probability of a roll of one dice with the numbers 1, 2, 3, 4, 5, 6 on the walls. Write the results in a notebook in the shape of a fraction in the basic form: 2/3. a, The number 1 falls on the cube. b, The number 5 falls on the cube. c, An
• Lidl calculator
We don't like to advertise unnamed retail chains. But offers relatively high-quality scientific/technical calculator OLYMPIA 8510S with 97 functions(features) for 3.48 Eur. Calculate how many cents costs one feature of this calculator. We believe that eit
• Two doctors
Doctor A will determine the correct diagnosis with a probability of 93% and doctor B with a probability of 79%. Calculate the probability of proper diagnosis if both doctors diagnose the patient.
• Bits, bytes
Calculate how many different numbers can be encoded in 16-bit binary word?
• Competition
15 boys and 10 girls are in the class. On school competition of them is selected 6-member team composed of 4 boys and 2 girls. How many ways can we select students?
• Component fail
There is a 90 percent chance that a particular type of component will perform adequately under high temperature conditions. If the device involved has four such components, determine the probability that the device is inoperable because exactly one of the
• Internet anywhere
In school, 60% of pupils have access to the internet at home. A group of 8 students is chosen at random. Find the probability that a) exactly 5 have access to the internet. b) At least 6 students have access to the internet
• Combinatorics
The city has 7 fountains. Works only 6. How many options are there that can squirt ?
• Balls
We have n identical balls (numbered 1-n) is selected without replacement. Determine 1) The probability that at least one tensile strength number coincides with the number of balls? 2) Determine the mean and variance of the number of balls, which coincides
• Sum on dice
We have two dice. What is the greater likelihood of fall a total sum 7 or 8 ? (write 7, 8 or 0 if the probabilities are the same)?
• A pizza
A pizza place offers 14 different toppings. How many different three topping pizzas can you order?
• Classroom
Of the 26 pupils in the classroom, 12 boys and 14 girls, four representatives are picked to the odds of being: a) all the girls b) three girls and one boy c) there will be at least two boys