There are 17 people in an office with 5 different phone lines. if all the lines begin to ring at once, how many groups of 5 people can answer these lines?

6188 different combinations of people

Step-by-step explanation:

This is a combination problem since it does not matter the order of people that answer the phones.  The combination looks like this:

₁₇C₅ =

This expands to

The 12! cancels out in the top and bottom so the remaining multiplication leaves you with

₁₇C₅ =

which divides to 6188

2

step-by-2step explanation:

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.