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Find the number of bit strings that satisfies the given conditions. The bit strings of length 8 having exactly three 0s

Consider a set A with 5 elements. Which rule must be used to find the number of functions from the set A to a set with 3 elements?

Find the Least Common Multiple 0 and 3

There are 23 mathematics majors and 325 computer science majors in a college. Which rule must be used to find out the number of ways that two representatives can be picked so that one is a mathematics major and the other is a computer science major?

Euclidean Algorithm (7, 1)

Consider the positive integers less than 1000. Which rule must be used to find the number of positive integers less than 1000 that are divisible by 7?

In how many different ways can 4 elements be selected in order from a set with three elements when repetition is allowed? [BLANK-1]

Find the value of the following equation. P(8, 0) [BLANK-1]

Consider the message “DO NOT PASS GO.” Identify the number obtained after applying the encryption function f(p) = (p + 13) mod 26 to the the number translated from the letters of the above message.

Find the Greatest Common Divisor 23 · 72 and 52 · 131