Variations

Determine the number of items when the count of variations of fourth class without repeating is 42 times larger than the count of variations of third class without repetition.

Result

n =  45

Solution:

Try another example

Leave us a comment of example and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:

Be the first to comment!

Next similar examples:

1. Task of the year
   Determine the number of integers from 1 to 10⁶ with ending four digits 2006.
2. Metals
   In the Hockey World Cup play eight teams, determine how many ways can they win gold, silver and bronze medals.
3. Combinatorics
   The city has 7 fountains. Works only 6. How many options are there that can squirt ?
4. Disco
   On the disco goes 12 boys and 15 girls. In how many ways can we select four dancing couples?
5. Mumbai
   A job placement agency in Mumbai had to send ten students to five companies two to each. Two of the companies are in Mumbai and others are outside. Two of the students prefer to work in Mumbai while three prefer to work outside. In how many ways assignment
6. 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.
7. Olympics metals
   In how many ways can be win six athletes medal positions in the Olympics? Metal color matters.
8. Medals
   In how many ways can be divided gold, silver and bronze medal among 21 contestant?
9. Football league
   In the 5th football league is 10 teams. How many ways can be filled first, second and third place?
10. Neighborhood
    I have 7 cups: 1 2 3 4 5 6 7. How many opportunities of standings cups are there if 1 and 2 are always neighborhood?
11. Tokens
    In the non-transparent bags are red, white, yellow, blue tokens. We 3times pull one tokens and again returned it, write down all possibilities.
12. Trainings
    The table contains tennis training schedule for Saturday's younger students during the winter indoor season. Before the start of the summer season is preparing a new training schedule. Tomas Kucera will be able to practice only in the morning, sisters Kova
13. Count of triangles
    Given a square ABCD and on each side 8 internal points. Determine the number of triangles with vertices at these points.
14. Weekly service
    In the class are 20 pupils. How many opportunities have the teacher if he wants choose two pupils randomly who will weeklies?
15. Theorem prove
    We want to prove the sentense: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
16. PIN - codes
    How many five-digit PIN - code can we create using the even numbers?
17. Probability
    What are the chances that the lottery, in which the numbers are drawn 5 of 50 you win the first prize?