Given the b= [1,2,3,4}, how many subsets have exactly two elements

6

{1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}

6

Step-by-step explanation:

We are given that a set b={1,2,3,4}

We have to find number of subsets which contain exactly two elements.

Combination formula

We have n=4, r=2

Using the combination formula

=6

Subsets of given set which contain exactly two elements={1,2},{2,3},{3,4},{1,3},{1,4},{2,4}

Hence, 6 subsets of  a set which contain exactly two elements.

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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.