Suppose you have 18 objects (10 of type A, 5 of type B, and 3 of type C). Objects of type A are indistinguishable from each other; objects of type B are indistinguishable from each other; and objects of type C are indistinguishable from each other. In how many ways can you Pick 5 of the 18 objects (order does not matter)
Answers
Answer:
Step-by-step explanation:
Note that we have in total 18 items. Even though we are given information regarding the amounts of items per type, the general question asks the total number of ways in which you can pick 5 out of the 18 objects, without any restriction on the type of chosen items. Therefore, the information regarding the type is unnecessary to solve the problem.
Recall that given n elements, the different ways of choosing k elements out of n is given by the binomial coefficient .
Therefore, in this case the total number of ways is just
Answer:
Given:
Number of objects: n = 18
Type A objects: 10
Type B objects: 5
Type C objects: 3
To find:
In how many ways can you Pick 5 of the 18 objects (order does not matter)
Step-by-step explanation:
When the order does not matter we use Combination.
Formula to calculate combination:
C(n,r) = n! / r! ( n - r )!
n = 18
r = 5
Putting the values:
C(n,r)
= C(18,5)
= 18! / 5! ( 18 - 5 )!
= 18! / 5! ( 13 )!
= ( 18 * 17 * 16 * 15 * 14 * 13 * 12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 ) / ( 5 * 4 * 3 * 2 * 1 ) * (13 * 12 * 11 * 10 *9* 8 * 7 *6 * 5 * 4 * 3 * 2 *1 )
Cancel 13!
= (18 * 17 * 16 * 15 * 14 ) / ( 5 * 4 * 3 * 2 * 1 )
= 1028160 / 120
= 8568
So you can pick 5 of the 18 objects in 8568 ways.
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Data on caloric intake or teens for two types of diet are given below. Typical Diet Caloric intake Sample mean St. Dev. No fast food 2310 2295 2280 2340 2235 2265 2315 2291.429 34.8466 food Fast 2579 2160 2165 2580 2558 2591 2614 2518 2583.125 33.0646 Give a 95% confidence interval for the difference of the two means, (Uf - Un), where is the mean calorie intake for teens who typically eat fast food and is that for teens who do not typically eat fast food assuming two normal populations, independent random samples, and equal variances for the two populations
Answers to the question
Can someone help me pls
Although still a sophomore at college, John O'Hagan's son Billy-Sean has already created several commercial video games and is currently working on his most ambitious project to date: a game called K that purports to be a "simulation of the world." John O'Hagan has decided to set aside some office space for Billy-Sean against the northern wall in the headquarters penthouse. The construction of the partition will cost $8 per foot for the south wall and $12 per foot for the east and west walls.What are the dimensions of the office space with the largest area that can be provided for Billy-Sean with a budget of $432?south wall length ft -east and west wall length -What is its area?
Answers
Answer:
111°
Step-by-step explanation:
By exterior angle theorem:
Answer:
x = 111
Step-by-step explanation:
180- 82 -29 is 69 and 180-69 is x which x is equal to 111
Her lunch weighs 1 lb, her gym clothes weigh
2 lb, and her books (b) weigh 3 lb each. How
many books can she carry in her backpack?
Answers
Answer:
nothing
Step-by-step explanation:
Answers
Answer:
(2.x) + (2.7) = 36
Step-by-step explanation:
Solving the given equation with the distributive property,
A(B + C) = (A.B) + (A.C)
So that,
2(x+7) = 36
(2.x) + (2.7) = 36
2x + 14 = 36
2x = 36 - 14
2x = 22
x = 11
From the given expressions, the option that is the correct first step to solving this equation is;
(2.x) + (2.7) = 36
Answer:
Here you go
Step-by-step explanation:
Answers
Answer: y=2
Step-by-step explanation:
y/6 = 3/9 multiply both sides by 6/1 (since 6/1 times y/6 equals 1y or just y)
y = 18/9 now that y is isolated, just simplify 18/9
y=2 18 divided by 9 is 2
Answers
Answer:
1) x = 75°
2) x = 180° - 2×40° = 180° - 80° = 100°
3) x = 180° - 2×73° = 180° - 146° = 34°
4) x = (180° - 122°) : 2 = 58° : 2 = 29°
5) x = 90° - (180° - 80°) : 2 = 90° - 100° : 2 = 90° - 50° = 40°
Answers
There are 60 minutes per hour so
100 inches per minute equals
6,000 inches per hour
there are 12 inches per foot so that converts to
500 feet per hour