A woman has nine close friends. (a) In how many ways can she invite six of these to dinner? (b) Repeat (a) if two of her friends are divorced (from each other) and will not attend together. (c) Repeat (a) if the friends consist of three single people and three married couples and, if a husband or wife is invited, the spouse must be invited too.

A woman has nine close friends. (a) In how many ways can she invite six of these to dinner? (b) Repeat (a) if two of her friends are divorced (from each other) and will not attend together. (c) Repeat (a) if the friends consist of three single people and three married couples and, if a husband or wife is invited, the spouse must be invited too.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

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4. A woman has nine close friends.
(a) In how many ways can she invite six of these to dinner?
(b) Repeat (a) if two of her friends are divorced (from each other) and will not attend together.
(c) Repeat (a) if the friends consist of three single people and three married couples and, if a husband
or wife is invited, the spouse must be invited too.

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