There are 5 people in a raffle drawing. two raffle winners each win gift cards. each gift card is the same. how many ways are there to choose the winners?
decide if the situation involves a permutation or combination, and then find the number of ways to choose the winners.
a.
permutation; number of ways = 20
b.
combination; number of ways = 20
c.
permutation; number of ways = 10
d.
combination; number of ways = 10

D.

Combination; number of ways = 10

Step-by-step explanation:

Permutation is when order matters

Combinations is when order doesn't matter.

Since there are two identical gift cards, it doesn't matter who  gets the first gift card and who gets the second gift card, so this is a combination

There are 5 people choose 2

n!

r!(n − r)!

where n is the number of items and r is how many we choose

5!              5*4*3*2*1

   =  = 10

2! (5-2)!      2*1  ( 3*2*1)

D.

Combination; number of ways = 10

add 5 subtract 1

step-by-step explanation:

there has been genes found in the x chromosome of males that have been linked to [homo/hetero]sexuality. in addition to the reign of the x chromosome, a section of chromosome 8 has also been link to, "alot of ppl are so " these facts were proven true after a 2014 study of a gay male and his strait brother. according to newscientist.com,"chromosome 14 and is mainly active in the thyroid, but also the brain. called tshr, it makes a type of receptor protein that recognises and binds to a hormone that stimulates the thyroid. in this way, the gene plays an important role in controlling thyroid function. the fact that tshr seems to be involved in sexual orientation fits with evidence that thyroid function seems to be linked to sexuality."

in conclusion, "ppl are so gay" due to their genetics.