Math  /  Discrete

QuestionEvaluate the following: a) 5C3{ }_{5} C_{3} c) (64)\binom{6}{4} e) (126)\binom{12}{6} b) 9C8{ }_{9} C_{8} d) 10C0{ }_{10} C_{0} f) 8C1{ }_{8} C_{1}

Studdy Solution
Evaluate 8C1{ }_{8} C_{1} using the formula:
8C1=8!1!(81)!=8×7!1×7!=8{ }_{8} C_{1} = \frac{8!}{1!(8-1)!} = \frac{8 \times 7!}{1 \times 7!} = 8
The evaluated values are: a) 1010 b) 99 c) 1515 d) 11 e) 924924 f) 88

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