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:
A
Step-by-step explanation:
A. shows what the expression shows in a different format. you preform the multiplication step on either one and you get the same thing.
Imagine the paths as a right triangle with one leg measuring 8 miles and the other 5. You need to find the hypotenuse using the pythagorean theorem, so take 8 squared + 5 squared equals x squared, which gives you 64+25=89, then find the square root of 89 which is 9.433981132
3x^2(4x^3)^3
3x^2*4^3x^9
3*4^3x^11
192x^11
