c) Two departments of size ten ({a1, ..., a10} and {b1,.., b10}) choose two members to participate in a committee a,, a;, b, and bj. The committee has a chair, but no other members are ranked. How many unique committees exist? (e.g. Chair : az, Members : ..... a3, b2, bg is an example)

c) Two departments of size ten ({a1, ..., a10} and {b1,.., b10}) choose two members to participate in a committee a,, a;, b, and bj. The committee has a chair, but no other members are ranked. How many unique committees exist? (e.g. Chair : az, Members : ..... a3, b2, bg is an example)

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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Counting/discrete Math

c) Two departments of size ten ({a1,..., a10} and {b1,..., b10}) choose two members to
participate in a committee a, a;, b¡ and bj. The committee has a chair, but no other
members are ranked. How many unique committees exist? (e.g. Chair : a2, Members:
a3, b2, bg is an example)
oiood bno l pvi
d) Consider the following equation of non-negative integers, r1, x2, 13 such that 1+x2+
T3 = 20. Let x; = mar(x1,x2, 13). What is the minimum value for r,?

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