Copyright 2. Malholland Battan, 2021 2. More counting problems (a) Shabnam goes to a carnival and plays a game of tossing 20 (identical) bean bags into four holes that are labelled 1, 2, 3, and 4. On each toss, she may get the bag in one of the holes or miss all four holes entirely. How many possible outcomes are there for the bean bags in holes game? (b) Determine the number of paths, with only unit East and North steps, from (0,0) to (10,11) that go through at least one of the points (4.5) and (4,7). Hint: Some paths go through both points.

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Copyright, J. Malholland
Battan, 2021
2. More counting problems
(a) Shabnam goes to a carnival and plays a game of tossing 20 (identical) bean bags into four
holes that are labelled 1, 2, 3, and 4. On each toss, she may get the bag in one of the holes or
miss all four holes entirely.
How many possible outcomes are there for the bean bags in holes game?
(b) Determine the number of paths, with only unit East and North steps, from (0,0) to (10,11)
that go through at least one of the points (4.5) and (4,7). Hint: Some paths go through both
points.
Transcribed Image Text:Copyright, J. Malholland Battan, 2021 2. More counting problems (a) Shabnam goes to a carnival and plays a game of tossing 20 (identical) bean bags into four holes that are labelled 1, 2, 3, and 4. On each toss, she may get the bag in one of the holes or miss all four holes entirely. How many possible outcomes are there for the bean bags in holes game? (b) Determine the number of paths, with only unit East and North steps, from (0,0) to (10,11) that go through at least one of the points (4.5) and (4,7). Hint: Some paths go through both points.
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