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

This math topic focuses on converting letter notation of binomial coefficients into factorial formulas. It specifically explores combinations using the 'n choose m' notation, guiding students to identify the correct factorial expressions for given values. Part of a broader study on probability and statistics, this topic leverages factorials within combination problems to solidify understanding in computational techniques used in permutations and combinations. Each problem presents a combo notation and asks students to select the correct corresponding factorial formula from multiple choices, deepening their comprehension of factorial operations in probabilistic contexts.

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

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Letter Notation to Formula

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Select the correct formula for this notation

6C6_6\text{C}_6

Probability nCm Notation - Letter Notation to Formula Worksheet

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Math worksheet on 'Probability nCm Notation - Letter Notation to Formula (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 formula for this notation
A LaTex expression showing sub 5 C sub 2
a A LaTex expression showing 3! over 3! times 0!
b A LaTex expression showing 5! over 3!
c A LaTex expression showing 2! over 5! times 3!
d A LaTex expression showing 5! over 2! times 3!
2
Select the correct formula for this notation
A LaTex expression showing sub 4 C sub 3
a A LaTex expression showing 3! over 4! times 1!
b A LaTex expression showing 4!
c A LaTex expression showing 4! over 3! times 1!
d A LaTex expression showing 4! over 4! times 0!
3
Select the correct formula for this notation
A LaTex expression showing sub 5 C sub 4
a A LaTex expression showing 4! over 4! times 0!
b A LaTex expression showing 5! over 4! times 1!
c A LaTex expression showing 5!
d A LaTex expression showing 4! over 5! times 1!
e A LaTex expression showing 7! over 2! times 5!
f A LaTex expression showing 6! over 2! times 4!
4
Select the correct formula for this notation
A LaTex expression showing sub 3 C sub 2
a A LaTex expression showing 3! over 2! times 1!
b A LaTex expression showing 2! over 3! times 1!
c A LaTex expression showing 4! over 2! times 2!
d A LaTex expression showing 3!
5
Select the correct formula for this notation
A LaTex expression showing sub 4 C sub 4
a A LaTex expression showing 4!
b A LaTex expression showing 4! over 4! times 0!
c A LaTex expression showing 3! over 3! times 0!
d A LaTex expression showing 5! over 5! times 0!
6
Select the correct formula for this notation
A LaTex expression showing sub 6 C sub 4
a A LaTex expression showing 5! over 2! times 3!
b A LaTex expression showing 6! over 2!
c A LaTex expression showing 7! over 4! times 3!
d A LaTex expression showing 4! over 6! times 2!
e A LaTex expression showing 6! over 4! times 2!
7
Select the correct formula for this notation
A LaTex expression showing sub 6 C sub 3
a A LaTex expression showing 3! over 6! times 3!
b A LaTex expression showing 6! over 3! times 3!
c A LaTex expression showing 6! over 3!
d A LaTex expression showing 4! over 3! times 1!
e A LaTex expression showing 7! over 4! times 3!