8. How many six-digit even numbers more than 200,000 can be formed using all of the digits 1, 1, 2, 2, 3, 5? (e.g. 221135, 315122, 21135, etc.) 9. A cookie jar contains 10 cookies. Four of them are chocolate chips, three are almond, two are oatmeal and one is a high fibre cookie. a) In how many ways can you select some cookies? b) In how many ways can you select some cookies if you must take at least one almond cookie? 10. How many ways can 8 people line up if Anushiya and Balina cannot be next to each other?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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8. How many six-digit even numbers more than 200,000 can be
formed using all of the digits 1, 1, 2, 2, 3, 5? (e.g. 221135,
315122, 21135, etc.)
9. A cookie jar contains 10 cookies. Four of them are chocolate
chips, three are almond, two are oatmeal and one is a high fibre
cookie.
a) In how
many ways can you
select
some cookies?
b) In how many ways can you select some cookies if you must
take at least one almond cookie?
10. How many ways can 8 people line up if Anushiya and Balina cannot be next to each other?
Transcribed Image Text:8. How many six-digit even numbers more than 200,000 can be formed using all of the digits 1, 1, 2, 2, 3, 5? (e.g. 221135, 315122, 21135, etc.) 9. A cookie jar contains 10 cookies. Four of them are chocolate chips, three are almond, two are oatmeal and one is a high fibre cookie. a) In how many ways can you select some cookies? b) In how many ways can you select some cookies if you must take at least one almond cookie? 10. How many ways can 8 people line up if Anushiya and Balina cannot be next to each other?
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