Answer:
a. 205320
b. 34220
c. 60! / (35)! (25)! + 60!/ (40)!(20)! + 60!/ (45)! (15)!
Step-by-step explanation:
a) The number of ways to dustribute exams among the TA's is:
n / (n - r)!
n= number of things to choose from
r= Choosing r number
60P3= 60! / (60 - 3)!
(60)(59)(58)(57)! / (57)!
=205320
B) The number of ways to dustribute the exams among the TA's is:
n! /(n - r)! r!
60C3= 60! /(60 - 3)! 3!
= 60!/ 57! 3!
= 60 × 59 × 58 / 3 × 2 × 1
= 34220
C) The required number of ways is:
60C25 + 60C20 + 60C15
= 60! / (35)! (25)! + 60!/ (40)!(20)! + 60!/ (45)! (15)!
<u>Answer</u>
18 and 12
<u>Explanation</u>
Factor is a number or algebraic expression that divides another number or expression evenly that is with no remainder.
Odd number have few factors so the can't be the answer.
WE are going to try the even numbers.
18 ⇒ 18, 9, 6, 3, 2, 1
16 ⇒ 16, 8, 4, 2, 1
12 ⇒ 12, 6, 4, 3, 2, 1
10 ⇒ 10, 5, 2, 1
Other number less than 10 has factors less than 5.
It can be seen from above that 18 and 12 have the most factors.
Answer: The first machine would cost $420
and the second machine would cost $432
you should buy the first machine
Step-by-step explanation:If you get a 30% discount, then you are paying 70% of the selling price.
Machine 1: 600(.70) = 420
Machine 2: A 10% discount means you pay 90%
600(.90) = 540 But now you get a 20% discount on that amount, which means you would pay 80%
So, 540(.80) = 432
Answer:
Step-by-step explanation:
Given that a store receives shipments of peaches. They want to sort them by weight.
The sorting pattern is as follows:
Peaches : Pound = 2:1 or 3.25:1 or 1:3.25
Given are i) 26 peaches to 13 lbs = 26:13=2:1 Hence goes to the first box
ii) 6 peaches to 19.5 lbs =6:19,5 = 1:3,25 lb. Hence goes to II box
iii) 13 peaches to 4 lbs: =13:4=3.25:1 Hence goes to II box
iv) 39 peaches to 12 lbs: =39:12=3.25:1 Hence goes to II box
v) 15 peaches to 7.5 lbs: =15:7.5=2:1 Hence goes to I box
i - I box
ii - II box
iii - II box
iv) - II box
v) - I box
