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photoshop1234 [79]
3 years ago
7

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?
Mathematics
1 answer:
Sergio039 [100]3 years ago
6 0

Answer:a) 870

b) 435

Step-by-step 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

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x = the first mystery number = 2

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Step-by-step explanation:

Let

x = the first mystery number

y = the second mystery number

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8x + 10y = 24 (1)

7x + 10y = 26 (2)

Subtract (1) from (2) to eliminate y

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