You and your mom enter a drawing with 3 different prizes. a total of 8 people entered the drawing, and prizes are awarded randomly. there are 336 ways to award the prizes. what is the probability that you win first prize and your mom wins second prize?  a. 8/336 b. 1/8 c. 6/336 d. 1/336

Step-by-step explanation:

Given: The Number of different prizes = 3

The number of people entered the drawing room = 8

The number of ways to select for 3 prizes, such that  you win first prize and your mom wins second prize = You × Mom × Rest of people

The total number of ways to award the prizes = 336

Therefore, the probability that you win first prize and your mom wins second prize=

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

answer: i don't understand. what are the options

step-by-step explanation: