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sesenic [268]
3 years ago
11

The secret number is grater than 75.it has 9 tens.it has a 3 in the ones places.​

Mathematics
1 answer:
Vikki [24]3 years ago
8 0

Answer:

The secret number is 93.

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What is Permutations and Combinations?
marissa [1.9K]

Answer:

See below

Step-by-step explanation:

Permutation is to select an object then arrange it and it cares about the orders while Combination is about only selecting an object without caring the orders.

Permutation can be expressed in math as:

\displaystyle{_n P _r = \dfrac{n!}{(n-r)!} \ \ \ (n \geq r) }

where n is a number of total object and r is a number of selected object to arrange. Hence. n cannot be less than r.

Now let's see an example of permutation, suppose we have letter A, B and C. I'd like to know how many ways these words can be arranged:

Since there are 3 letters total and 3 selected letters to arrange then:

\displaystyle{_3 P _3 = \dfrac{3!}{(3-3)!}}\\\\\displaystyle{_3 P _3 = \dfrac{3 \times 2 \times 1}{0!}}\\\\\displaystyle{_3 P _3 = \dfrac{6}{1}}\\\\\displaystyle{_3 P _3 = 6}

Therefore, there are 6 ways to arrange the letters - we can also demonstrate visually:

ABC - 1

ACB - 2

BAC - 3

BCA - 4

CAB - 5

CBA - 6

Notice that if you do visually, you'll get the same answer as the calculation of permutation!

----

Combination can be expressed mathematically as:

\displaystyle{_n C _r = \dfrac{n!}{(n-r)!r!} = \dfrac{_n P _r}{r!} \ \ \ (n \geq r) }

The difference between permutation and combination is that you only find how many ways you can select object in combination. Therefore, no arrange and doesn't care about order, just ways to select.

Suppose we have same 3 letters: A, B and C. I want to find how many ways I can select these 3 letters:

Since there are 3 letters total and 3 selected letters:

\displaystyle{_3 C _3 = \dfrac{3!}{(3-3)!3!}}\\\\\displaystyle{_3 C _3 = \dfrac{3!}{0!3!}}\\\\\displaystyle{_3 C _3 = \dfrac{3!}{3!}}\\\\\displaystyle{_3 C _3 = 1}

Hence, there is only one way to select 3 letters. This makes sense because if you have 3 letters then you can only select 3 letters only one way.

5 0
2 years ago
X/5+7= -3<br> Please helppppp meeeee I neeeddd heeeelppp quickly
anastassius [24]

Answer:

x=−50

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A random sample of 25 college statistics textbook prices is obtained and the mean price is computed. To determine the probabilit
Lubov Fominskaja [6]

Answer:

We need to refer to the population distribution of all college statistics textbook prices.

Step-by-step explanation:

From the given information;

We are being given the sample size and the mean that has already been computed. Thus, to determine the probability of a more extreme mean, we need the t-test statistics value. In this case, we will need the sample mean, thus we need to refer to the population distribution of all college statistics textbook prices.

4 0
3 years ago
What is .22 divided by 88.66​
Nana76 [90]

Answer:

0.00248139

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
At a museum, the admission price for children is $9 and the admission price for adults is $18. The total amount the museum colle
anygoal [31]

Answer:

x + y = 330  and 9x + 16y = 4650

Step-by-step explanation:

At a museum, the admission price for children is $9 and the admission price for adults is $18. The total amount the museum collects in admissions for the day is $4959. The total number of visitors is 319.

x = number of children

y = number of adults

x + y = 330

9x + 16y = 4650

4 0
3 years ago
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