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Probability nCm Notation - Formula to Letter Notation (Level 1)

This math topic focuses on the conversion of factorial expressions into binomial coefficients (nCm notation) or permutations/combinations. It tests understanding and application of the factorial function and binomial theorem, primarily how factorials relate to combinations and permutations. Each problem entails identifying the correct binomial coefficient that corresponds to a given factorial quotient. This is useful in evaluating probabilities and making statistical calculations where selection ordering is a factor. This fundamental topic in probability and statistics assists in developing algebraic manipulation skills and understanding of mathematical notation.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Formula to Letter Notation

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.

Select the correct notation for this formula

5!5!â‹…0!\frac{5!}{5! \cdot 0!}

Probability nCm Notation - Formula to Letter Notation Worksheet

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Math worksheet on 'Probability nCm Notation - Formula to Letter Notation (Level 1)'. Part of a broader unit on 'Probability and Statistics - Probability with Factorials Practice' Learn online: app.mobius.academy/math/units/probability_and_statistics_probability_with_factorials_practice/
1
Select the correct notation for this formula
A LaTex expression showing 5! over 5! times 0!
a A LaTex expression showing sub 3 C sub 3
b A LaTex expression showing sub 5 P sub 5
c A LaTex expression showing sub 7 C sub 4
d A LaTex expression showing sub 5 R sub 5
e A LaTex expression showing sub 5 G sub 5
f A LaTex expression showing sub 5 C sub 5
2
Select the correct notation for this formula
A LaTex expression showing 6! over 4! times 2!
a A LaTex expression showing sub 4 C sub 6
b A LaTex expression showing sub 6 P sub 4
c A LaTex expression showing sub 6 R sub 4
d A LaTex expression showing sub 6 C sub 4
e A LaTex expression showing sub 8 C sub 4
f A LaTex expression showing sub 6 G sub 4
3
Select the correct notation for this formula
A LaTex expression showing 6! over 2! times 4!
a A LaTex expression showing sub 2 C sub 6
b A LaTex expression showing sub 8 C sub 2
c A LaTex expression showing sub 6 R sub 2
d A LaTex expression showing sub 5 C sub 3
e A LaTex expression showing sub 4 C sub 2
f A LaTex expression showing sub 6 C sub 2
4
Select the correct notation for this formula
A LaTex expression showing 6! over 5! times 1!
a A LaTex expression showing sub 6 R sub 5
b A LaTex expression showing sub 6 C sub 5
c A LaTex expression showing sub 7 C sub 5
d A LaTex expression showing sub 5 C sub 6
e A LaTex expression showing sub 5 C sub 4
f A LaTex expression showing sub 6 P sub 5
5
Select the correct notation for this formula
A LaTex expression showing 5! over 3! times 2!
a A LaTex expression showing sub 5 C sub 3
b A LaTex expression showing sub 5 P sub 3
c A LaTex expression showing sub 3 C sub 2
d A LaTex expression showing sub 5 R sub 3
e A LaTex expression showing sub 3 C sub 5
f A LaTex expression showing sub 5 G sub 3
6
Select the correct notation for this formula
A LaTex expression showing 3! over 2! times 1!
a A LaTex expression showing sub 3 G sub 2
b A LaTex expression showing sub 5 C sub 2
c A LaTex expression showing sub 3 C sub 2
d A LaTex expression showing sub 3 C sub 3
e A LaTex expression showing sub 2 C sub 3
f A LaTex expression showing sub 3 P sub 2
7
Select the correct notation for this formula
A LaTex expression showing 4! over 2! times 2!
a A LaTex expression showing sub 4 P sub 2
b A LaTex expression showing sub 4 C sub 2
c A LaTex expression showing sub 2 C sub 4
d A LaTex expression showing sub 3 C sub 2
e A LaTex expression showing sub 4 R sub 2
f A LaTex expression showing sub 4 G sub 2