Find the binomial coefficient.c= (7)……(5)
To find the binomial coefficient, we use the formula of n! / (r! * (n-r)!), where n is the upper value and r is the lower value
To find the binomial coefficient, we use the formula of n! / (r! * (n-r)!), where n is the upper value and r is the lower value.
In this case, we have c = (7)……(5).
The first step is to determine the values of n and r. Since we have the numbers 7 to 5 in parentheses, we can count the number of terms to determine the values.
From 7 to 5, we have three terms: 7, 6, and 5. So n = 3.
Now, we need to determine the value of r. The value of r represents the position of the desired number in the sequence. In this case, we want the third number, which is 5. So r = 3.
Now, we can substitute these values into the formula:
c = 3! / (3! * (3-3)!) = 3! / (3! * 0!) = 3! / 3!
To simplify, we first compute the factorial of each number:
3! = 3 * 2 * 1 = 6
Now, we plug in the value of 3! into the formula:
c = 6 / 6 = 1
Therefore, the binomial coefficient c for the given sequence (7)……(5) is equal to 1.
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