The number of ways can the committee be organized will be 2220075. Then the correct option is 3.
<h3>What are permutation and combination?</h3>
A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.
The prom committee is made up of 8 boys and girls.
If there are 12 boys and 15 girls in the group to pick the committee from.
Then the number of ways can the committee be organized will be
Then the number of ways is given by the combination formula. Then we have
Number of ways = ¹²C₀ x ¹⁵C₈ + ¹²C₁ x ¹⁵C₇ + ¹²C₂ x ¹⁵C₆ + ¹²C₃ x ¹⁵C₅ + ¹²C₄ x ¹⁵C₄ + ¹²C₅ x ¹⁵C₃ + ¹²C₆ x ¹⁵C₂ + ¹²C₇ x ¹⁵C₁ +¹²C₈ x ¹⁵C₀
Number of ways = 6435 + 77220 + 330330 + 660660 + 675675 + 360360 + 97020 + 11880 + 495
Number of ways = 2220075
Thus, the correct option is 3.
More about the permutation and the combination link is given below.
brainly.com/question/11732255
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Answer:
$1.33
Step-by-step explanation:
let the cost of apple be $x .
now according to question the two shoppers spend the same amount
4.75x+4=5.5x+3
0.75x=1
x= 4/3= $1.33
therefore, pound of apples cost = $1.33
Answer:
80 degrees
Step-by-step explanation:
The entire circle represents 72 and the "slice of pie" is represented by a portion:
16/72 * 100
= 0.22 * 100
= 22.222%
.
22.222% of 360 degrees
= .22222 * 360
= 80 degrees
It must be that all the cookies have been eaten