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Use a Venn diagram to illustrate the set of all months of the year whose names do not contain the letter R in the set of all months of the year.
Determine whether the given relation is reflexive, symmetric, transitive, or none of these. R is the ”greater than or equal to” relation on the set of real numbers: For all x, y ∈ R , xRy ⇐⇒ x ≥ y
Describe the Hasse diagram formed by the Relation "x is a divisor of y" for the set
A = {1, 3, 6, 12, 24, 48}.Determine how many bit strings of length 5 can be formed ,where three consecutive 0s are not allowed .
2) Let S = {1,2,3,4} with lexicographic order "<=" relation
a. Find all pairs in S x S less than (2, 3)
b. Find all pairs in S x S greater than (3, 1)
c. Draw the Hasse diagram of the poset (S x S, <)
A boy has 10 red balls, 20 blue balls,25 black balls ,and 30 pink balls .He select ball at random without looking at them .calculate the minimum number of balls he must select to be sure that at least 6 balls of the same color .
How many strings of six lowercase letters from the English alphabet contain:
i.The letter a?
ii. The letters a and b? iii. The letters a and b in consecutive positions with a preceding b, with all the letters distinct?
iv. The letters a and b, where a is somewhere to the left of b in the string, with all the letters distinct?
#332078 on Oct 2022