Answer:
336 ways ;
56 ways
Step-by-step explanation:
Number of ways to have the officers :
Number of qualified candidates, n = 8
Number of officer positions to be filled = 3
A.)
Using permutation (since the ordering matters):
nPr = n! ÷(n-r)!
8P3 = 8! ÷ (8-3)!
8P3 = 8! ÷ 5!
8P3 = (8*7*6)
8P3 = 336 ways
B.) Different ways of appointing committee: (ordering doesn't count as officers can also be appointed)
Using the combination relation :
nPr = n! ÷(n-r)!r!
8C3 = 8! ÷ (8-3)! 3!
8C3 = 8! ÷ 5!3!
8C3 = (8*7*6) ÷ (3*2*1)
8C3 = 336 / 6
8C3 = 56 ways
Answer:
75.398
Step-by-step explanation:
25% of x calories is 550 calories.
25% * x = 550
0.25x = 550
Divide both sides by 0.25
x = 2200
Answer: 2200 calories
Point slope form is y-y1=m(x-x1)
M is the slope
y1 and x1 come from the point given
Answer:
Y+8=1/2(x-0)
If it should be simplified y+8=1/2x
The x value is 0 because when the line intercepts the y axis x=0
Answer: x= pi
Step-by-step explanation:
