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6.07 Combinations

Interactive practice questions

Evaluate $5!$5!

Easy
< 1min

Evaluate $4!6!$4!6!

Easy
< 1min

Find the value of $\frac{11!}{5!6!}$11!5!6!ā€‹.

Easy
< 1min

Simplify $\frac{19!}{15!4!}$19!15!4!ā€‹ by identifying common factors of the numerator and denominator.

Easy
1min
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Outcomes

ACMMM044

understand the notion of a combination as an unordered set of r objects taken from a set of n distinct objects

ACMMM045

use the notation and the formula (nr)=n!r!(nāˆ’r)! for the number of combinations of r objects taken from a set of n distinct objects

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