In how many ways can 9 hearts be chosen if 12 cards are chosen from a well-shuffled deck of 52 playing cards? a) 715 b) 220 c) 108 d) 6,534,385 e) 117 f) none of the above.

d) 6,534,385

Therefore, the number of ways of selecting 9 hearts is 6,534,385

Step-by-step explanation:

Given;

Number of cards to be chosen = 12

Number of hearts to be chosen = 9

Number of non-hearts to be selected = 3

Total number of cards = 52

Number of hearts total = 13

Number of non-hearts total= 39

The number of ways of selecting hearts can be given by the illustration below.

Number of ways of selecting hearts × number of ways of selecting non-hearts

N = 13C9 × 39C3 (it's combination since order is not important)

N = 13!/(9! ×4!) × 39!/(36! × 3!)

N = 6,534,385

Therefore, the number of ways of selecting 9 hearts is 6,534,385

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.