A ship carries exactly 10 different signal flags. If each

possible combination and ordering of 4 of these flags
connotes a specific message, how many signals can be
sent with these flags, taken 4 at a time?

How about trying some of these yourself?

Let us know what you have done so far?

I have and if you don't want to help don't post anything thank you.

You've posted 14 math questions today, and have received help on some of these. We can help you better if we have some idea of your thinking.

Please note that Jiskha isn't here to give answers.

To determine the number of signals that can be sent with these flags taken 4 at a time, we can use the concept of combinations.

The formula to find the number of combinations is given by:
C(n, r) = n! / (r!(n-r)!), where n is the total number of items and r is the number of items chosen at a time.

In this case, our total number of items is 10 (the 10 different signal flags) and we are choosing 4 flags at a time.

Using the formula, we can calculate the number of signals as follows:

C(10, 4) = 10! / (4!(10-4)!)
= 10! / (4!6!)
= (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1)
= 210

Therefore, there are 210 signals that can be sent with these flags, taken 4 at a time.