hirashin I think (a) and (b) would be used In what context?
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hirashinI thought you could use "I'd be happy to" and "I'd be glad to" interchangeably.You can, but what has that to do with your original question?
hirashinWhat I'd like to know is in what context each of them would be used.I'd be happy to show the guests around town if they visit next month.
hirashin(b) I'd be happy to.If you are in doubt and have to guess, use b. It's probably used in more situations than either of the other two.
hirashinWould (b) be the only correct one to answer if someone asks me, "Help me with my math homework."No. All the first two are natural responses. The third is possible.