Answer:
a) rCn = 1176
b) 2352
Step-by-step explanation:
a)Each committee should be formed with 3 members ( no two members could be of the same state) then
Let´s fix a senator for any of the 50 states so in the new condition we need to combined 49 senators in groups of 2 then
rCn = n! / (n - r )! *r!
rCn = 49!/ (49 - 2)!*2!
rCn = 49*48*47! / 47!*2!
rCn = 49*48 /2
rCn = 1176
So we can choose in 1176 different ways a senator for a given state
b) To answer this question we have to note, that, 1176 is the number of ways a committee can be formed with senators of different sate (taking just one senator for state ) if we have 2 senators we need to multiply that figure by 2.
1176*2 = 2352
Intrest=principal*rate*time
500-350=150<---final interest
150=350*2.8*time
150=980*time
time=approx. 0.15years or 54.75 days
Answer:
y >5
Step-by-step explanation:
−4y + 6 < −14
Subtract 6 from each side
−4y + 6-6 < −14-6
-4y < -20
Divide by -4. Remember to flip the inequality since we are dividing by a negative
-4y/-4 >-20/-4
y >5
Answer:
7000
Step-by-step explanation:
10^3=1000
1000*7=7000
