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Simplify the expression 6C5
a) 6
b) 24
c) 30
d) 720

User Grisel
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1 Answer

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Final answer:

The expression 6C5 represents the number of combinations of choosing 5 items from 6, yielding the value 6 after applying the combination formula. Thus, the simplified answer is the integer 6.

Step-by-step explanation:

The expression 6C5, also known as '6 choose 5', refers to the number of ways to choose 5 items from a set of 6, without regard to the order in which they are chosen. The formula for combinations is given by nCr = n! / (r!(n-r)!) where n is the total number of items and r is the number of items to choose.

Therefore, 6C5 can be calculated as:

6C5 = 6! / (5!(6-5)!) = (6 x 5 x 4 x 3 x 2 x 1) / ((5 x 4 x 3 x 2 x 1) x (1)) = 6/1 = 6

So, the simplified expression for 6C5 is 6, which corresponds to option a.

User Skuta
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