A class has 32 students. in how many different ways can five students form a group for an activity? (assume the order of the students is not important.)
Answers
The combination is a way of selecting items from a collection where the order of selection does not matter.
The number of ways five students form a group for an activity is 6944.
What is a combination?
The combination is a way of selecting items from a collection where the order of selection does not matter.
The formula for combination is given:
We have,
Number of students = 32
Number of students in a group = 5
The number of ways five students form a group:
=
n = 32 and r = 5
=
= 32! / 5! (32 - 5)!
= 32! / 5! 27!
= 32 x 31 x 30 x 29 x 28 / 5 x 4 x 3 x 2
= 6944
Thus,
The number of ways five students form a group for an activity is 6944.
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In general, it is the number of arrangements of 5 out of 35 (35P5) divided by the number of arrangements of 5 out of 5 (5P5), which reduces to
35P5/5P5 = 35!/((30-5)!) / (5!/(5-5)!) = 35!/(5!(30-5)!) = 35C5.
Substituting values
35C5 = 35!/(5!30!)=35*34*33*32*31/(1*2*3*4*5) = 324632 ways
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Hello!
The null hypothesis is the commonly accepted fact, if you were to make an experiment, you'll state in the null hypothesis what is already known of your population, another way to see it is that the null hypothesis has the "no change" statement. When doing a statistic test you seek to nullify the null hypothesis to replace it with the alternative hypothesis, i.e., the objective of any hypothesis test is to invalidate this hypothesis not to prove the alternative hypothesis right.
In short words, you work to annulate what is accepted knowledge and not to prove what you think happens.
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Simplified expression-?
Value-?
Answers
The expression 3x + 7x - 28 + 31 - 8x simplifies to 2x + 3. When x equals 2043, the value of the Simplifying Expression is 4089.
The given expression is 3x + 7x - 28 + 31 - 8x.
To simplify the expression, we first group together the like terms.
Thus, the expression becomes (3x + 7x - 8x) + (31 - 28).
This simplifies further to 2x + 3.
Next, to find the value of the expression for x = 2043, we substitute 2043 for x into the simplified expression, resulting in 2*2043 + 3 = 4089.
Therefore, the simplified version of the expression is 2x + 3 and the value of the expression for x = 2043 is 4089.
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The answer is Yes. Hope this helps :)
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