After apologizing profusely for his errors on the first two hands, he misbid the last hand and they ended up in fifth place.
The coating contains a carbonific compound that reacts with the intumescent catalyst to form a carbon residue, and a spumific compound that decomposes to produce large quantities of gas.
The church is at grid reference 44 12.
In 1928 Emanuel Sperner asked and answered the following question: Suppose we are given the set N=1,2,3,…,n. Call a family ℱ of subsets of N, which has partial order ⊆]) an antichain if no set of ℱ contains another set of the family ℱ. What is the size of a largest antichain? Clearly, the family ℱₖ of all k-sets satisfies the antichain property with |ℱₖ|=\binomnk. Looking at the maximum of the binomial coefficients (see page 14) we conclude that there is an antichain of size \binomn[n/2]= max ₖ\binomnk. Sperner's theorem now asserts that there are no larger ones.