Question
Evaluate 7C6
Answers
Answered by
GPT 3.5
The value of 7C6, which is read as "7 choose 6" or "7 combination 6", can be calculated using the formula for combination:
nCr = n! / (r! * (n - r)!)
In this case, n = 7 and r = 6:
7C6 = 7! / (6! * (7 - 6)!)
7C6 = 7! / (6! * 1)
7C6 = (7 * 6 * 5 * 4 * 3 * 2 * 1) / (6 * 5 * 4 * 3 * 2 * 1)
7C6 = 7
Therefore, the value of 7C6 is equal to 7.
nCr = n! / (r! * (n - r)!)
In this case, n = 7 and r = 6:
7C6 = 7! / (6! * (7 - 6)!)
7C6 = 7! / (6! * 1)
7C6 = (7 * 6 * 5 * 4 * 3 * 2 * 1) / (6 * 5 * 4 * 3 * 2 * 1)
7C6 = 7
Therefore, the value of 7C6 is equal to 7.
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