A blood bank needs 4 people to help with a blood drive. 11 people have volunteered. Find how many different groups of 4 can be formed from the 11 volunteers. Answer:

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Identify Problem Type: Identify the type of problem. We need to find the number of combinations of 11 people taken 4 at a time, since the order in which the volunteers are chosen does not matter.Use Combination Formula: Use the combination formula. The number of combinations of n items taken r at a time is given by: C(n, r) = n! / (r! * (n - r)!) where ! denotes factorial, which is the product of all positive integers up to that number.Plug in Values: Plug in the values for n and r. In this case, n = 11 (total volunteers) and r = 4 (number of people needed for the blood drive). C(11, 4) = 11! / (4! * (11 - 4)!)Calculate and Simplify: Calculate the factorials and simplify. 11! = 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 4! = 4 * 3 * 2 * 1 7! = 7 * 6 * 5 * 4 * 3 * 2 * 1 Now we can cancel out the common terms in the numerator and the denominator. C(11, 4) = (11 * 10 * 9 * 8) / (4 * 3 * 2 * 1)Perform Calculation: Perform the calculation. C(11, 4) = (11 * 10 * 9 * 8) / (4 * 3 * 2 * 1) C(11, 4) = (11 * 10 * 9 * 2) / (4 * 3 * 2) C(11, 4) = (11 * 10 * 9) / (4 * 3) C(11, 4) = (11 * 10 * 3) / 4 C(11, 4) = (11 * 5 * 3) C(11, 4) = 165

A blood bank needs $4$ people to help with a blood drive. $11$ people have volunteered. $\newline$ Find how many different groups of $4$ can be formed from the $11$ volunteers. $\newline$ Answer:

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A blood bank needs $4$ people to help with a blood drive. $11$ people have volunteered. $\newline$ Find how many different groups of $4$ can be formed from the $11$ volunteers. $\newline$ Answer: