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# Binomial Coefficients and Combinations

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Four people select a main dish from a menu of 7 items. How many choices are possible:

a) If a record is kept of who selected which choice (as a waiter would)

b) If who selected which choice is ignored (as a chef would). Analyze this part by the number of different choices made.

https://brainmass.com/math/combinatorics/binomial-coefficients-combinations-55910

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Definition of Binomial Coefficient:

Given a set X and a non-negative integer r, an r-subset of X is a subset A ...

#### Solution Summary

This solution shows how to compute the number of combinations for part (a) and the number of permutations for part (b). The solution is provided within a Word document which is attached and includes all calculations.

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