Question

I have 30 photos to post on my website. I'm planning to post these on two web pages, one marked "Friends" and the other marked "Family". No photo may go on both pages, but every photo will end up on one or the other. Conceivably, one of the pages may be empty. Please answer these two questions:__________

a. In how many ways can I post these photos to the web pages if the order in which the photos appear on those pages matters?
b. In how many ways can I post these photos to the web pages if the order in which the photos appear on those pages does not matter?

Answer 1

Answer:a) 870

b) 435

Explanation:

a)

number of photos to be posted =n = 30

number of web pages on which they would be posted is 2

Since the order in which the photos appear on the web pages matters,

Number of ways = 30 permutation 2

=870 ways

b)

Since the order in which the photos appear on the web pages does not matter,

Number of ways = 30 combination 2

= 435 ways