1- You own a group of ten different pets and you need to pick three of them to s

Question

1- You own a group of ten different pets and you need to pick three of them to send to your cousin Mort who is currently petless and miserable. In how many different ways can you select the pets to be sent off?

2- On reflection, since all three pets are to be put in a single cage for shipping, you decide that it would not be a good idea to send both Cutty (a bobcat) and Cheap (a parakeet) to Mort. With this restriction, in how many different ways can you select the pets to be sent off?

3- How many 4-digit numbers can you build if the number must be odd, odd digits can be repeated, and even digits cannot be repeated?

4-How many 4-digit numbers are there which consist of all different digits?

Explanation / Answer

1.10c3

4.5040

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