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Firlakuza [10]
2 years ago
12

ing Combination Notation & Problem Solving" alt="Evaluating Combination Notation & Problem Solving" align="absmiddle" class="latex-formula">
Evaluate the following combinations. Write also your solutions.​

Mathematics
1 answer:
Oduvanchick [21]2 years ago
7 0

Answer:

Step-by-step explanation:

1. ⁷C₅ = ⁷C₂ = 7 x 6 / 2 = 21

2. ⁹C₈ = ⁹C₁ = 9

3. ¹²C₅ = 12 x 11 x 10 x 9 x 8 / 2 x 3 x 4 x 5

= 11 x 9 x 8 = 11 x 72 = 792

4. ²⁰C₁₇ = ²⁰C₃ = 20 x 19 x 18 / 2 x 3

= 19 x 3 = 57

5. ¹⁶C₁₃ = ¹⁶C₃ = 16 x 15 x 14 / 2 x 3

= 8 x 5 x 14 = 40 x 14 = 560

6. ⁷C₄ + ¹¹C₉ = ⁷C₃ + ¹¹C₂ = (7 x 6 x 5 / 2 x 3) + (11 x 10 / 2)

= 35 + 55 = 90

7. ⁷C₃ + ⁷C₄ + ⁷C₅ = 2(⁷C₃) + ⁷C₂ = (2 x 7 x 6 x 5 / 2 x 3) + (7 x 6 / 2)

= 70 + 21 = 91

Legit only this much I can do now.

Hope it is enough.

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Word problem with multiplication and
natta225 [31]
6x26=156-7= 149

answer: 149
8 0
3 years ago
Two of the vertices of a rectangle are (1, -6) and ( -8, -6 ) if the rectangle has a perimeter of 26 units what are the coordina
Murrr4er [49]

Answer:

(1, -2)

(-8, -2)

Step-by-step explanation:

(1 , -6) and (-8 , -6)

1 - (-8) = 9

we know that the length of the side that we know the vertices is 9

from there we make an equation with the sum of the sides equal to the perimeter

we will have 2 times 9 and 2 times x beacause it is a rectangle

x + x + 9 +9 = 26

2x + 18 = 26

2x = 26 - 18

2x = 8

x = 8/2

x = 4

Now that we know the missing side we just have to add or subtract this value to the coordinate in and of the vertices we have and we will obtain the missing vertices

(1, -6 + 4)

(1, -2)

( -8, -6+4 )

(-8, -2)

5 0
3 years ago
If ALMN = AXYZ, which congruences are true by CPCTC? Check all that<br> apply.
Lubov Fominskaja [6]

Answer:

A C E

Step-by-step explanation:

these triangles can be mapped onto eachother. its basically asking which parts of the triangle would line up with eachother.

7 0
2 years ago
Snyone get this if u do please csn u help me
In-s [12.5K]
So what I think you do is that yu have to simplify or divide. Good luck! - from: a 7th grader
3 0
3 years ago
Solve this: -4a = -52​
Greeley [361]

Answer:

Hello! answer: 13

Step-by-step explanation:

-4 × 13 = 52 therefore a = 13 HOPE THAT HELPS!

6 0
3 years ago
Read 2 more answers
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