Write the equivalent combinatorial expression for:

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Q: e algebraic form of the

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A: Introduction: The binomial expansion of the term (a + b)n for n ≥ 0 is given as follows:

Q: only if k + 1

A: Basis of vector are linearly independent.

Q: 2/ Let the Polf fext = then E(X) is 2. 225 (30-x) 225 ③2x815 15 ≤x≤ 30

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Q: lim еxp is n exp 1. (e-e) 2. (e -). 3. (e* - e2). 4. None of the above O 1 O 2 O 4 3.

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Q: Write the following in sigma notation. 22

A: We will do analysis, then we will write sigma notation

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Q: Let 7(t) Find (Note that the +C has already been included for you). = + Č Answer preview: <

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Q: r. Berber owns ond that pays interest at an : hich expression below

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Q: n the diagram below, NOP similar WXY. Find each of the following:

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Q: The expansion of 500P3 is

A: The formula for nPr is defined as nPr = n! / (n - r)!

Q: Simplify the following Boolean expression:  A x [A + (A’ x B)] by using the laws of Boolean algebra

A:

Q: () Write the equivalent combinatorial expression for:

A: We have to find equivalent formula.

Q: Given this explicit rule below, complete the table with the first 4 terms. f(n) = 5 - 3n f(n)

A: By using  given function.

Q: Evaluate the factorial expression.

A: Given:               n+2!n!   n+2!=n+2×n+1×n×n-1n-2........3×2×1 n!=n×n-1n-2........3×2×1

Q: 3. What is the quotient and what is

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Q: The symbols ( ), [ ], and { } are examples of ________ symbols.

A: we have to fill the blanks

Q: Write a note about application of mathematical induction in daily life. Give two examples

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A: The given expressionn!n-3!. Result used: The fact nk=n!k!n-k!.

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Q: (O) = 90 (10 (10 5

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Q: rly). Let a) Evaluate r(20)

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Q: How do you compute the following

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Q: Example Assume that we kr

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Q: Abel says (6)- 6°. Is he correct? Explain.

A: Given statement  (6^3)^3=6^5 Is the given statement correct or wrong.

Q: Which of the following statements are true (as n gets large or n → 0)?

A: