Question

In: Statistics and Probability

from a group of 8 women and 5 men a committee of 4 members will be...

from a group of 8 women and 5 men a committee of 4 members will be elected

a) how many committees can you choose?

b)How many committees can be elected if there should be 3 men?

c)How many committees can you choose if there should be at least one woman?

d)If you want to elect a board, that is, a president, vice president, treasurer, secretary, in how many ways can you choose?

e)If you want to take a photo of the whole group, all in line, how many different photos can you take?

f)If you want to take a photo of the whole group, all in line, how many different photos can you take if Pepita and Pepito want to be together?

g)If you want to take a photo of the whole group, all online, what different photos can you take if Pepita and Pepito don't want to be together?

h)If you want to take a photo of the whole group, all online, how many different photos can you take if the women are together and the men together?

Expert Solution

A) total ways =715

B) committe elected in 80 ways whe. Their are 3 men

C)

Committe elected in 710 ways when atleast one women

D) total ways 13*12*11*10=17160

E) total different photos =13 factorial

F) total different photos when pepita and pepito want together =2*(12factorial)

G) total different photos whe. Pepita and pepito do not want together =9*(12factorial)

H) total different photos when men are together and women are together is =(8factorial)(5 factorial)( 2)

Solution file is attached go through it

Thanks

orchestra answered 2 years ago

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