DISCRETE MATH
a. How many integers between 1 and 1000 are divisible by either
7 or 11?
b . How many integers between 1 and 1000 have distinct
digits?
c .A student council consists of 15 students. Two council
members always insist on serving on committees together. If they
cannot serve together, they will not serve at all. How many ways
can a committee of six be selected from the council membership?
d. A set of five distinct computer science...
How many 10 digit decimal numbers contain:
a-) exactly three 7’s ?
b-) at most two 7’s ?
c-) at least two 7’s ?
please explain when solving problems. thanks
7) (a) (2 pts) How many permutations are there of the word
QUARANTINE?
(b) (4 pts) How many of the permutations of QUARANTINE do NOT
the same letter appearing consecutively? (Thus, any permutation
with the substring "AA" should not be counted and any permutation
with the substring "NN" should not be counted.)
(c) (6 pts) A mountain permutation is defined as one where the
first portion of the permutation has letters in strictly increasing
alphabetical order, and the second portion...