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=9!4!⋅ 3!⋅ 2!=1260n=\dfrac{ 9! }{ 4! \cdot \ 3! \cdot \ 2! }=1260

Try another example


We would be very happy if you find an error in the example, spelling mistakes, or inaccuracies, and please send it to us. We thank you!






Showing 2 comments:
#
Math student
I presume that the solution is not correct.

#
Math student
Found my mistake.

avatar









Tips to related online calculators
See also our combinations with repetition calculator.
Would you like to compute count of combinations?
See also our permutations calculator.

You need to know the following knowledge to solve this word math problem:

Next similar math problems:

  • A student
    test_14 A student is to answer 8 out of 10 questions on the exam. a) find the number n of ways the student can choose 8 out of 10 questions b) find n if the student must answer the first three questions c) How many if he must answer at least 4 of the first 5 ques
  • How many 2
    chart_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
  • Cards
    cards_8 From a set of 32 cards we randomly pull out three cards. What is the probability that it will be seven king and ace?
  • Cinema
    stale_kvoka How many ways can be divided 11 free tickets to the premiere of "Jáchyme throw it in the machine" between 6 pensioners?
  • Menu
    jedalnicek On the menu are 12 kinds of meal. How many ways can we choose four different meals into the daily menu?
  • Cards
    sedmove karty How many ways can give away 32 playing cards to 7 player?
  • Fish tank
    zebra_fish A fish tank at a pet store has 8 zebra fish. In how many different ways can George choose 2 zebra fish to buy?
  • Beads
    koralky2 How many ways can we thread 4 red, 5 blue, and 6 yellow beads onto a thread?
  • Competition
    sutaz 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?
  • Division
    skauti_3 Division has 18 members: 10 girls and 6 boys, 2 leaders. How many different patrols can be created, if one patrol is 2 boys, 3 girls and 1 leader?
  • Permutations without repetition
    permutations_3 From how many elements we can create 720 permutations without repetition?
  • Trinity
    trojka How many different triads can be selected from the group 43 students?
  • Combinations 6
    dices2_3 6 purses 9 flaps 12 straps Every combination must include 1 purse, 1 flap, and 1 strap. How many are possible combinations?
  • Hockey
    hokej Hockey match ended 8:2. How many different matches could be?
  • Elements
    fact_1 If the number of elements is decreased by two the number of permutations is decreased 30 times. How many elements are?
  • Calculation of CN
    color_combinations Calculate: ?
  • Word
    words What is the probability that a random word composed of chars E, Y, G, E, R, O, M, T will be the GEOMETRY?