Halieyrobinson6759 Halieyrobinson6759
  • 01-07-2021
  • Mathematics
contestada

Suppose that a department contains 10 men and 12 women. How many ways are there to form a committee with six members if it must have the same number of men and women

Respuesta :

onyebuchinnaji
onyebuchinnaji onyebuchinnaji
  • 02-07-2021

Answer:

The number of ways is 26,400 ways

Step-by-step explanation:

Given;

total number of men, M = 10

total number of women, W = 12

number of committees to be formed = 6

If there must be equal gender, then it must consist of 3 men and 3 women.

[tex]The \ number \ of \ ways = 10C_3 \times 12C_3\\\\The \ number \ of \ ways =\frac{10!}{3!7!} \times \frac{12!}{3!9!} \\\\T he \ number \ of \ ways = 120 \times 220 = 26,400 \ ways[/tex]

Therefore, the number of ways is 26,400 ways

Answer Link

Otras preguntas

explain how trade leads to increased interdependence between countries
write an assignment with the question explain why the methods used to teach learners in african indigenous can still be by teachers today History and philosophy
WILL GIVE BRAILIEST IF ANSWERED FAST
1. Explain what is meant by each of the marketing concepts, by completing the table below: Marketing concept Description Production Product Selling Societal
draw the net of cube and square pyramid​
A man sold two watches at Rs 240 each; on one he gained 7% and on the other he lost 7%. The gain or loss percent in the whole transaction is a) 7% gain b) 7% lo
Who is Christina Rivera Garza?
Find the value of 2n-3 – 4 =10
What is the reduced radical form of each expression?
Significant sea level changes can be traced to changes in the