3) Consider the number of ways n(6) in which 6 identical items can be divided into some groups of items (where each group must contain at least one item.) For example, one possible way is 3 groups of two items each, another possible way is one group of 5 items and one group of 1 item. Which o the following statements is/are true? (More than one option may be correct.) n(6) is the number of partitions of 6. n(6) is given by the co-efficient of 26 in II, (1+ x* + x?i+. .) n(6) is given by the co-efficient of a° in II, (1 + r° + z²i+...)
3) Consider the number of ways n(6) in which 6 identical items can be divided into some groups of items (where each group must contain at least one item.) For example, one possible way is 3 groups of two items each, another possible way is one group of 5 items and one group of 1 item. Which o the following statements is/are true? (More than one option may be correct.) n(6) is the number of partitions of 6. n(6) is given by the co-efficient of 26 in II, (1+ x* + x?i+. .) n(6) is given by the co-efficient of a° in II, (1 + r° + z²i+...)
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 74E: Lottery Powerball is a lottery game that is operated by the Multi-State Lottery Association and is...
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Transcribed Image Text:3) Consider the number of ways n(6) in which 6 identical items can be divided into some groups of items (where each group must contain at least
one item.) For example, one possible way is 3 groups of two items each, another possible way is one group of 5 items and one group of 1 item. Which of
the following statements is/are true? (More than one option may be correct.)
n(6) is the number of partitions of 6.
n(6) is given by the co-efficient of 26 in II (1+ x* + x2i+.)
n(6) is given by the co-efficient of æ° in IIZG(1+x* + x²
22i+...)
n(6) is given by the co-efficient of 26 in II, (,
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