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6. A firm has to choose seven people from its R and D team of ten...

6. A firm has to choose seven people from its R and D team of ten to send to a conference on computer systems. How many ways are there of doing this

(a) when there are no restrictions?

(b) when two of the team are so indispensable that only one of them can be permitted to go?

(c) when it is essential that a certain member of the team goes?

(d) when there are two subteams of five, each of which must send at least two people?

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