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irina1246 [14]
3 years ago
13

Help! ASAP! Can somebody help me evaluate this problem

Mathematics
1 answer:
grandymaker [24]3 years ago
5 0
It's a computation. It would be 8!/3!(8-3)! If my memory serves me correctly.
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A number when divided by 780 gives remainder 38 .What
baherus [9]

Given:

A number when divided by 780 gives remainder 38.

To find:

The reminder that would be obtained by dividing same number by 26.

Solution:

According to Euclis' division algorithm,

a=bq+r                ...(i)

Where, q is quotient and 0\leq r is the remainder.

It is given that a number when divided by 780 gives remainder 38.

Substituting b=780,\ r=38 in (i), we get

a=(780)q+38

So, given number is in the form of 780q+38, where q is an integer.

On dividing 780q+38 by 26, we get

\dfrac{780q+38}{26}=\dfrac{780q}{26}+\dfrac{38}{26}

\dfrac{780q+38}{26}=30q+\dfrac{26+12}{26}

\dfrac{780q+38}{26}=30q+\dfrac{26}{26}+\dfrac{12}{26}

\dfrac{780q+38}{26}=30q+1+\dfrac{12}{26}

Since q is an integer, therefore (30q+1) is also an integer but \dfrac{12}{26} is not an integer. Here 26 is divisor and 12 is remainder.

Therefore, the required remainder is 12.

4 0
3 years ago
In a small chess tournament, 20 matches were played. Find out how many people were involved if it is known that each participant
Nina [5.8K]

Answer:

<em>5</em><em> players participated in the tournament.</em>

Step-by-step explanation:

In a small chess tournament, 20 matches were played.

Let us assume that n number of players participated in the tournament

As in each game 2 players play, so the number of ways they can play is,

=\ ^nC_2

As they played 2 games with every other participant in the tournament.

So the total number of games is,

=\ 2\times ^nC_2

But it is given to be 20, so

\Rightarrow \ 2\times ^nC_2=20

\Rightarrow \ ^nC_2=10

\Rightarrow \dfrac{n!}{2!(n-2)!}=10

\Rightarrow \dfrac{n(n-1)}{2}=10

\Rightarrow {n(n-1)=20

As 5\times 4=20, so we get n=5.

Therefore, 5 players participated in the tournament.

5 0
2 years ago
Read 2 more answers
Eric gets a 7 percent commission for each electronic item he sells .If he sells 3000 worth of elections ,how much commission doe
Bas_tet [7]

Answer:

$210

Step-by-step explanation:

He makes 7% of that which is:

0.07*3000 = 210

So, he makes $210 in commission.

8 0
3 years ago
Read 2 more answers
Type the expression that results from the following series of steps: start with x, divide 6, then subtract 1
Alexus [3.1K]

Answer:

x/6 - 1

Step-by-step explanation:

x divide 6 subtract 1

4 0
2 years ago
What's sss, sas, asa, aas, and hi. when it comes to solving triangles?<br>​
tekilochka [14]

Answer:

SSS = side side side

SAS = side angle side

ASA = angle side angle

AAS = angle angle side

8 0
2 years ago
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