YOPSTAR6032 YOPSTAR6032
  • 21-01-2020
  • Mathematics
contestada

If 12 people are to be divided into 3 committees of respective sizes 3, 4, and 5, how many divisions are possible?

Respuesta :

ummuabdallah ummuabdallah
  • 21-01-2020

Answer: 1320

Step-by-step explanation:

I think this is a permutation problem

n p r = n! / (n-r)!

12 P 3 = 12! / (12-3)!

= 12! / 9!

= 12× 11 ×10 × 9! / 9!

The 9! in the numerator and denminator will cancel out

12 P 3 = 12 × 11 × 10 = 1320

Answer Link

Otras preguntas

What type of poem is "Death, Be Not Proud"?
What are the four charcteristice of solids?
The female sex cells of a flowering plant are contained in its a) pistil b) pollen c) zygotes d) seeds
What are two factors that determine overall system performance?
How many atoms are in a sample of 68.7 g of copper
Which of the following is NOT a necessary step to effectively prioritize goals?
What is the correct definition of the word health? A. Careful examination and judgment of your own patterns of behavior. B. A combination of physical, m
How many 2/3 ounce packages of peanuts can be made with 8 ounces of peanuts? Explain how you found your answer?
Help me!!! What is important about the battle of Camden
Which of the following is an example of a recursive sequence? 2, 5, 8, 11, ... 1, 3, 9, 27, ... 2, 4, 6, 10, ...