Okay, for this one, I know it's either one of two answers.

In how many different ways can 7 different people line up for a picture?

49, or 823543.

Neither. The answer is


7! = 7*6*5*4*3*2*1 = 5040

Your last number is 7^7. No way

Oh. Alright. Thanks.

how many ways can the 5people be arranged in a row if the father is on the far right?

To find out the number of different ways 7 different people can line up for a picture, we need to calculate the number of permutations. A permutation is an arrangement of objects in a specific order.

The formula to calculate the number of permutations is nP r = n! / (n - r)!, where n is the total number of objects and r is the number of objects to be arranged at a time.

In this case, we have 7 people, so n = 7. We want to line up all 7 people, so r = 7 as well.

Using the formula, we have:

7P7 = 7! / (7 - 7)!
= 7! / 0!
= 7! / 1
= 7 * 6 * 5 * 4 * 3 * 2 * 1 / 1
= 5040

Therefore, there are 5040 different ways 7 different people can line up for a picture.
So the correct answer is not 49 or 823543.