The combination and permutations computed shows that the number of ways that the volunteers can be assigned is 120120.
<h3>How to calculate the combination</h3>
From the information given, the number of ways that the volunteers can be assigned will be:
= 14C3 × 11C4 × 7C7.
= (14 × 13 × 12)/6 × (11 × 10 × 9 × 8)/24
= 120120
Also, the number of ways that the volunteers can be assigned so that Mary and Martha are not at the same station will be:
= 12C1 × 11C4 × 7C7
= 12 × 330 × 1
= 3960
Learn more about permutations on:
brainly.com/question/1216161
On Saturday, 4/4 of the amount of people attended. On Friday, 3/4 of the amount on Saturday attended. We have 7 parts (3 from Friday and 4 from Saturday).
840/7 = 120.
Thus, 360 people attend on Friday and 480 on Saturday.
Answer:
x = -27
Step-by-step explanation:
Simplifying
5(x + 3) = 4(x + -3)
Reorder the terms:
5(3 + x) = 4(x + -3)
(3 * 5 + x * 5) = 4(x + -3)
(15 + 5x) = 4(x + -3)
Reorder the terms:
15 + 5x = 4(-3 + x)
15 + 5x = (-3 * 4 + x * 4)
15 + 5x = (-12 + 4x)
Solving
15 + 5x = -12 + 4x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4x' to each side of the equation.
15 + 5x + -4x = -12 + 4x + -4x
Combine like terms: 5x + -4x = 1x
15 + 1x = -12 + 4x + -4x
Combine like terms: 4x + -4x = 0
15 + 1x = -12 + 0
15 + 1x = -12
Add '-15' to each side of the equation.
15 + -15 + 1x = -12 + -15
Combine like terms: 15 + -15 = 0
0 + 1x = -12 + -15
1x = -12 + -15
Combine like terms: -12 + -15 = -27
1x = -27
Divide each side by '1'.
8x + 2x
Plug the variable in.
8×6 + 2×6
48+12 = 60
