How many eight-bit strings contain exactly three 0's?

How many strings can be formed by ordering the letters SCHOOL using some or all of the letters?

How many eight-bit strings contain exactly three 1’s?

Determine the number of strings that can be formed by ordering the letters given. SUGGESTS

How many bit strings of length eight contain either three consecutive 0s or four consecutive 1s?

(a) If a pair of dice is rolled, in how many ways are the two numbers different?
(b) If three dice are rolled, in how many ways are at least two of the dice the same?

Refer to a club consisting of six distinct men and seven distinct women. In how many ways can we select a committee of four persons so that Mabel and Ralph do not serve together?

How many eight-bit strings have exactly two 1's?

If $f(x)$ has a vertical asymptote and $x=c$, then either $\lim _{x \rightarrow c^{-}} f(x)=\lim _{x \rightarrow c^{+}} f(x)=\infty$ or $\lim _{x \rightarrow c^{-}} f(x)=\lim _{x \rightarrow c^{+}} f(x)=-\infty$. Justify your answer.

Refer to a club consisting of six distinct men and seven distinct women. In how many ways can we select a committee for four persons that has persons of both sexes?

How many eight-bit strings have at least one 1?

How many eight-bit strings have exactly one 1?

How many bit strings are there of length eight?

How many eight-bit strings contain exactly two 1’s?