2 years ago

In how many ways can a 7 person committee be chosen from a group of 10 people?

Mathematics

1 answer:

Nostrana [21]2 years ago

3 0

$\displaystyle\\\binom{10}{7}=\dfrac{10!}{7!3!}=\dfrac{8\cdot9\cdot10}{2\cdot3}=4\cdot3\cdot10=120$

You might be interested in

Ralph is 3 times as old as Sara. In 6 years, Ralph will be only twice as old as Sara will be then. Find Ralph's age now. Ralph's

Marizza181 [45]

The correct answer is 18.

5 0

3 years ago

541 (484) 783, 437 (?) 642

alexandr402 [8]

Answer:

541 (484) 783, 437 (410) 642

Step-by-step explanation:

Required

Fill in the bracket

First, we generate a formula for the first sequence: 541 (484) 783

$484 = 2 * [783 - 541]$

$484 = 2 * [242]$

$484 = 2 * 242$

$484 = 484$

Using the same formula for the second sequence: 437 (?) 642

$x = 2 * [642 - 437]$

Where x represents the empty bracket

$x = 2 * [205]$

$x = 2 * 205$

$x = 410$

3 0

3 years ago

Please help me, I'm really confused. Given that a ∥ b and m∠6 is 1/8 of m∠4, find m∠4 and m∠6.

ASHA 777 [7]

9514 1404 393

Explanation:

Finish the Given statement, make use of the relationships of angles and parallel lines, then finish the algebra.

2. m∠6 = (1/8)m∠4 . . . . Given

3. m∠6 + m∠4 = 180° . . . . 3. same-side interior angles are supplementary

4. m∠6 + 8·m∠6 = 180° . . . . 4. Substitution (from 2, above: 8·m∠6 = m∠4)

Here is the "algebra" that gets you to line 5:

4a. 9m∠6 = 180° . . . collect terms

4b. m∠6 = 20° . . . . . divide by 9

4c. m∠4 = 8·20° = 160° . . . use the same relation as in step 4

5. m∠6 = 20°, m∠4 = 160° . . . . Algebra

8 0

3 years ago

Read 2 more answers

Please answer CORRECTLY !!!!!!! Will mark brainliest !!!!!!!!!!

madreJ [45]

C because the highest and lowest Y values are at -7 and 4.

7 0

4 years ago

A box can hold 9 books. There are only 5 books in the box. What percentage of the box is full? 56% 80% 1.8% 44%

Doss [256]

Answer:

I do believe that the answer would be 56%

Step-by-step explanation:

Using estimation if the box is half full it would have 4.5 books in the box, if you add that extra book it would be around 56%

6 0

3 years ago