(1) How many strings can be formed by ordering the letters ABCDE subject to the condition that the string contains either the substring AE or the substring EA or both (2) In how many ways can ve distinct Martians and ve distinct Jovians wait in line (3) A six person committee composed of Alice, Ben, Connie, Dolph, Egbert, and Francisco is to select a chairperson, secretary, and treasurer How many selections are there in which Dolph is an ocer and Francisco is not an ocer

Question: (1). How many strings can be formed by ordering the letters ABCDE subject to the condition that the string contains either the substring AE or

(1). How many strings can be formed by ordering the letters ABCDE subject to the condition that the string contains either the substring AE or the substring EA or both?

(2). In how many ways can ﬁve distinct Martians and ﬁve distinct Jovians wait in line?

(3). A six-person committee composed of Alice, Ben, Connie, Dolph, Egbert, and Francisco is to select a chairperson, secretary, and treasurer. How many selections are there in which Dolph is an oﬃcer and Francisco is not an oﬃcer?

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