The question is not complete because it is not written correctly
Complete Question:
The drama club is holding auditions for five different parts in a one act play. If 9 people audition, how many ways can the roles be assigned?
a. 362,880
b. 15,120
c. 126
d. 120
Answer:
b. 15,120
Step-by-step explanation:
In other to solve the question above, we would use the formula for permutation.
This is because when assigning 5 DIFFERENT roles to 9 people, the order of assigning the roles is important. The formula for permutation, is used when order is involved.
Permutation (n, r) = nPr = n!/(n - r)!
In the above question,
n = 9 people
r = 5 different parts
9P5 = 9!/(9 - 5)!
= 9!/4! = 9×8×7×6×5×4×3×2×1/ 4×3×2×1
= 362880/ 24
= 15,120
Therefore, the number of ways that the roles can be assigned is 15,120 ways
Answer:
Length of DE is : 18√2 units
Step-by-step explanation:
The length of a side of a triangle is 36.
To calculate : The length of the segment DE
Now, the two parts of triangle have equal area ∴ Area(ADE) = Area(BDEC)
In ΔABE and ΔABC,
∠A = ∠A (Common angles)
∠ABE = ∠ABC (Corresponding angles are always equal)
By AA postulate of similarity of triangles, ΔABE ~ ΔABC.
Hence by area side proportionality theorem
Hence, length of DE is 18√2 units
Answer:
The triangle will be same to the first triangle only its side would be changed. The triangle will be congruent to the first triangle. The triangle formed will be the same as the first.
Step-by-step explanation:
Answer:
Mean (Average):
353.5
Median (Middle):
(210+426)/2 = 318
Mode (Most Common):
No Mode of this set
Range (Biggest - Smallest):
673
Step-by-step explanation:
So, the two equal payments will be $78.50
