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Out of 10 actuaries and 7 statisticians , a committee of 2 actuaries and 3 statisticians is to be formed . In how many ways

Out of 10 actuaries and 7 statisticians , a committee of 2 actuaries and 3 statisticians is to be formed . In how many ways can this be done if : a) one particular statistician must be in the committee b) there are two actuaries who refuse to work together

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