Three workplaces

How many ways can we divide nine workers into three workplaces if they need four workers in the first workplace, 3 in the second workplace and 2 in the third?

Correct result:

n =  1260

Solution:

$n={\displaystyle \frac{9!}{4!\cdot 3!\cdot 2!}}=1260$

Try another example

Showing 2 comments:

Math student

I presume that the solution is not correct.

10 months ago  Like

Math student

Found my mistake.

10 months ago  Like

Next similar math problems:

• Divide
  How many different ways can three people divide 7 pears and 5 apples?
• Beads
  How many ways can we thread 4 red, 5 blue, and 6 yellow beads onto a thread?
• Two groups
  The group of 10 girls should be divided into two groups with at least 4 girls in each group. How many ways can this be done?
• Chocolates
  In the market we have 3 kinds of chocolates. How many ways can we buy 14 chocolates?
• Prize
  How many ways can be rewarded 9 participants with the first, second and third prize in a sports competition?
• How many 2
  How many three lettered words can be formed from letters A B C D E G H if repeats are: a) not allowed b) allowed
• Candy
  How many ways can divide 10 identical candies to 5 children?
• Combinations of sweaters
  I have 4 sweaters two are white, 1 red and 1 green. How many ways can this done?
• Boys and girls
  There are 11 boys and 18 girls in the classroom. Three pupils will answer. What is the probability that two boys will be among them?
• Fruits
  In the shop sell 4 kinds of fruits. How many ways can we buy three pieces of fruit?
• Families 2
  Seven hundred twenty-nine families are having six children each. The probability of a girl is 1/3, and the probability of a boy is 2/3. Find the number of families having two girls and four boys.
• VCP equation
  Solve the following equation with variations, combinations and permutations: 4 V(2,x)-3 C(2,x+ 1) - x P(2) = 0
• School trip
  The class has 19 students. What different ways students can be accommodated in the hostel, where available 3× 2-bed, 3× 3-bed and 1× 4-bed rooms. (Each room has its unique number)
• Cinema
  How many ways can be divided 11 free tickets to the premiere of "Jáchyme throw it in the machine" between 6 pensioners?
• Combinations 6
  6 purses 9 flaps 12 straps Every combination must include 1 purse, 1 flap, and 1 strap. How many are possible combinations?
• 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?
• Five letters
  How many ways can five letters be arranged?