Disco

On the disco goes 12 boys and 15 girls. In how many ways can we select four dancing couples?

Correct answer:

n =  16216200

Step-by-step explanation:

$n=(12\cdot 11\cdot 10\cdot 9)\cdot (15\cdot 14\cdot 13\cdot 12)\mathrm{/}(4\cdot 3\cdot 2\cdot 1)=16216200$

Try another example

Related math problems and questions:

• 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?
• Graduation party
  There are 15 boys and 12 girls at the graduation party. Determine how many four couples can be selected.
• Class pairs
  In a class of 34 students, including 14 boys and 20 girls. How many couples (heterosexual, boy-girl) we can create? By what formula?
• 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
• Menu
  On the menu are 12 kinds of meal. How many ways can we choose four different meals into the daily menu?
• Boys and girls
  There are eight boys and nine girls in the class. There were six children on the trip from this class. What is the probability that left a) only boys b) just two boys
• School parliament
  There are 18 boys and 14 girls in the class. In how many ways can 3 representatives be elected to the school parliament, if these are to be: a) the boys themselves b) one boy and two girls
• 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?
• Boys and girls
  There are 20 boys and 10 girls in the class. How many different dance pairs can we make of them?
• Four-member team
  There are 14 girls and 11 boys in the class. How many ways can a four-member team be chosen so that there are exactly two boys in it?
• Beads
  How many ways can we thread 4 red, 5 blue, and 6 yellow beads onto a thread?
• Created trio
  What is the probability that in the created trio, which consists of 19 boys and 12 girls, they will be: a) the boys themselves b) the girls themselves c) 2 boys and 1 girl?
• Division
  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?
• Kids
  How many different ways can sit 8 boys and 3 girls in line if girls want to sit on the edge?
• Prize
  How many ways can be rewarded 9 participants with the first, second, and third prizes in a sports competition?
• First class
  The shipment contains 40 items. 36 are first grade, 4 are defective. How many ways can select 5 items, so that it is no more than one defective?
• 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?