From a group of five boys and seven girls, two boys and three girls will be selected to attend a conference. In how many possible ways can the selection be made?

Step-by-step explanation:

Number of combinations

= 5C2 * 7C3

= 10 * 35

= 350.

Hence there are 350 possible ways.

P.S.

5C2 = 5! / (2!3!) = 120 / (2 * 6) = 10.

7C3 = 7! / (3!4!) = 5040 / (6 * 24) = 35.

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.