self Maths Puzzle

In a hotel we can order two types of varities, but we can make 6 more variteis in home. One can choose the four varities with two from hotel as must. Find how many ways one can order.
a) 14 b) 15 c) 56 d) 28

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self Other Question

if there are 30 cans out of them one is poisened if a person tastes very little he will die within 14 hours so if there are mice to test and 24 hours to test, how many mices are required to find the poisened can?
A)3 B)2 C)6 D)1
36 people {a1, a2, ..., a36} meet and shake hands in a circular fashion. In other words, there are totally 36 handshakes involving the pairs, {a1, a2}, {a2, a3}, ..., {a35, a36}, {a36, a1}. Then size of the smallest set of people such that the rest have shaken hands with at least one person in the set is
" 11
" 18
" 12
" 13