Question

There are 13

people in an office with 6 different phone lines. If all the lines begin to ring at once how many groups of 6 people can answer these lines

Answer 1

Answer and Explanation:

Thus, 1,716 different 6-member groups can answer the lines.

Answer 2

1716

Step-by-step explanation:

If there are 13 people in the office and only 6 phone lines, then only 6 people can answer the phone lines at any given time.

To find out how many different groups of 6 people can answer the phone lines, we can use the combination formula:

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

where n is the total number of people (13) and r is the number of people we want to choose (6).

So the number of different groups of 6 people that can answer the phone lines is:

13C6 = 13! / 6!(13 - 6)! = 13! / 6!7! = (13x12x11x10x9x8) / (6x5x4x3x2x1) = 1716

Therefore, there are 1716 different groups of 6 people that can answer the phone lines.