Question

A blood bank needs 12 people to help with a blood drive. 17 people have volunteered. Find how many different groups of 12 can be formed from the 17 volunteers.

Answer 1

Answer: 1 5/12

Step-by-step explanation:

17/12 as a mixed number

Answer 2

To find the number of different groups of 12 that can be formed from 17 volunteers, we can use the combination formula. The number of combinations of n objects taken r at a time is given by nCr = n! / (r!(n-r)!). Substituting the values and simplifying gives us 6188 different groups of 12.

Step-by-step explanation:

To find the number of different groups of 12 that can be formed from 17 volunteers, we can use the combination formula. The number of combinations of n objects taken r at a time is given by the formula:

nCr = n! / (r!(n-r)!)

Substituting the values, we have:

17C12 = 17! / (12!(17-12)!)

17C12 = 17! / (12! * 5!)

Now, calculate the factorial values and simplify:

17C12 = (17 * 16 * 15 * 14 * 13) / (12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1)

17C12 = 6188

Therefore, there are 6188 different groups of 12 that can be formed from 17 volunteers.