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borishaifa [10]
3 years ago
7

Your cousin, who is planning her wedding, is working on the seating chart for the reception. She is trying to decide which 6 peo

ple should be seated at the table closest to the head table. She has narrowed her decision down to a list of 10 friends.
If the order doesn't matter, in how many ways can she choose 6 friends from the list of 10 to sit at the table closest to the head table?
Mathematics
1 answer:
zimovet [89]3 years ago
8 0
Final list of friends = 10
Possible number of friends who can sit close to the head table = 6

This is a question of the number of combinations in choosing 6 friends from the list of 10 friends.

That is,
Number of ways = 10C6 = (10!)/[6!*(10-6)!] = 3628800/(720*24) = 210 ways.
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Step-by-step explanation:

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3 years ago
15. Simplify an expression for the area of the<br>rectangle shown below.<br>8x - 2.<br>4.<br>​
lyudmila [28]

Answer:

Area of the rectangle  A   = 32 x - 8

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given that the length of the rectangle(l) = 8x-2

Given that the width of the rectangle (w) = 4

Area of the rectangle = length × width

                         A   = (8x - 2) × 4

                         A   = 32 x - 8

<u><em>Final answer</em></u>:-

Area of the rectangle  A   = 32 x - 8

3 0
3 years ago
What will be the units of the square of the following <br>a - 2346<br>b - 5677​
AlladinOne [14]
<h2>Answer:</h2>

(a) 6

(b) 9

<h2>Step-by-step explanation:</h2>

The units of a whole number is the rightmost digit in the number. For example, if the number is <em>15678</em>, the units is <em>8</em> since that is the rightmost digit. Another example is <em>25795</em>. The units is <em>5.</em>

<em></em>

(a) To find the units of the square of -2346,

<em>i. First find the square of (-2346)</em>

(-2346)² = (-2346) x (-2346) = 5503716

<em>ii. Now find the rightmost digit.</em>

The rightmost digit of 5503716 is 6.

<em>Therefore, the units of the square of (-2346) is </em><em>6</em>

<em />

<em />

(b) To find the units of the square of -5677,

<em>i. First find the square of (-5677)</em>

(-5677)² = (-5677) x (-5677) = 32228329

<em>ii. Now find the rightmost digit.</em>

The rightmost digit of 32228329 is 9.

<em>Therefore, the units of the square of (-5677) is </em><em>9</em>

<em />

<em />

<em />

3 0
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