Answer: 4004ways
Step-by-step explanation:
Total number of Students =15
Total number of students to be on the committee =5
Since two members are of the same major and must not be on the committee, then we are left with choosing 5 people from just 14 People after we eventually remove one from those two students with same majors.
Hence to select 5 people from 14 people, we use the combination formula 14C5.
From the two students with same major we also use the combination Formula in knowing the number of ways any of the two students can be chosen. To choose one from these two students, we use the combination Formula 2C1.
Hence, the total number of ways to choose the committee of 5 and ensuring the two students with same major aren't on the committee becomes:
= 14C5 * 2C1
= 2002 * 2
= 4004ways.
Answer:
mike
Step-by-step explanation:
hawk...put them together and you should have all your answers to raiding area 51 with an area of 51!
Answer:
1. a) (1-1) (1-2) (1-3) (2-1) (2-2) (3-1)
2. a) (5-1) (5-2) (5-3) (5-4) (5-5) (5-6)
3. d) (1-3) (2-3) (3-1) (3-2) (3-4) (3-5) (3-6) (4-3) (5-3) (6-3)
Step-by-step explanation:
1. added the numbers in the parenthesis and A had all of the sums less than 5
2. A had all the 5s in the first spot
3. D had the 3s in each parenthesis
Answer:
+ 8x³ + 12x² - 16x + 4
Step-by-step explanation:
Given
[(x² + 4x) - 2 ]² ← simplify contents of bracket
= (x² + 4x - 2)² = (x² + 4x - 2)(x² + 4x - 2)
Each term in the second factor is multiplied by each term in the first factor, that is
x²(x² + 4x - 2) + 4x(x² + 4x - 2) - 2(x² + 4x - 2) ← distribute parenthesis
= + 4x³ - 2x² + 4x³ + 16x² - 8x - 2x² - 8x + 4 ← collect like terms
= + 8x³ + 12x² - 16x + 4
The sum of half of a number and three-fourths is at least five and one quarter.
It's all about making sense of an English statement. "half the sum" and "the sum of half" are two distinct expressions.
Additionally, "at least" and "not less than" have equivalent meanings, as do "not more than" and "at most."
It is an issue of matching the thoughts conveyed because all of the expressions are verbally expressed. That is a reading comprehension issue, not a math issue.
"A number is at least five and one quarter when divided by half and three-fourths."
In mathematics, a statement with unequal sides is referred to as an inequality. When a link leads to a non-equal comparison between two expressions or two numbers, it is referred to as an inequality in mathematics.
In this case, the equal sign "=" is replaced with any of the inequality symbols, such as greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤), or not equal to symbol (≠). There are numerous types of inequalities that can exist in mathematics, including absolute value inequality, rational inequality, and polynomial inequality.
Learn more about inequality brainly.com/question/20383699
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