All categories

2 years ago

In how many unique ways can 4 boys and 4 girls sit around a circle table if all the boys sit together?

1 answer:

3 0

Working it completely in my head, I come up with 2,880 unique ways. I'll check it when I get back to a computer with an actual keyboard, and also explain my reasoning if anybody's interested.

You might be interested in

Which statement is true about the parts of this expression? 5/6 + 1/4x - y The constant is 5/6. The only coefficient is 1/4. The

andriy [413]

Answer:

Step-by-step explanation:

1/4 is the coefficient

x and y is the variables

5/6 is the constant but there could be a equal to zero on the end giving you another constant

Therefor the only true statement is The only coefficient is 1/4.

4 0

3 years ago

What the answer to this

Blababa [14]

I am pretty sure the answer is A because the graph is a cubic function

5 0

2 years ago

What is this number in standard form?<br> 5.75 x 10^9

sergey [27]

Step-by-step explanation:

57,500,000,000 is in standard form

5 0

1 year ago

Read 2 more answers

One Sunday, 120 days before Christmas, Aldsworth store publishes an advertisement saying ‘120 shopping days until Christmas'. Al

Lena [83]

Answer:

(a)18

(b)1089

(c)Sunday

Step-by-step explanation:

The problem presented is an arithmetic sequence where:

First Sunday, a=1
Common Difference (Every subsequent Sunday), d=7

We want to determine the number of Sundays in the 120 days before Christmas.

(a)In an arithmetic sequence:

$\text{The nth term}, T_n=a+(n-1)d\\T_n \leq 120\\$Therefore:$\\1+7(n-1) \leq 120\\1+7n-7\leq 120\\7n-6\leq 120\\7n\leq 120+6\\7n\leq 126\\$Divide both sides by 7$\\n\leq 18$

Since the result is a whole number, there are 18 Sundays in which Aldsworth advertises.

Therefore, Aldsworth advertised 18 times.

(b)Next, we want to determine the sum of the first 18 terms of the sequence

1,8,15,...

$\text{Sum of a sequence}, S_n=\frac{n}{2}( 2a+(n-1)d)\\S_{18}=\frac{18}{2}( 2*1+(18-1)*7)\\=9(2+17*7)\\=9(2+119)\\=9*121\\S_{18}=1089$

The sum of the numbers of days published in all the advertisements is 1089.

(c)SInce the 120th day is the 18th Sunday, Christmas is on Sunday.

6 0

2 years ago

Is 63/168 and 312/832 different from 66/90 and 143/195 and tell me why please

gulaghasi [49]

36/48 do the math and you will get some thing similer

4 0

2 years ago