In how many different ways can the letters of the word CONVERSION be arranged such that the vowels must always come together?
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In how many different ways can the letters of the word CONVERSION be arranged such that the vowels must always come together?
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- Boats use either 1, 2 or 3 signal flags to communicate with other boats (note: a signal with red flag on top and black flag on the bottum, has a different meaning than one with black on top and red on the bottum). If there are 10 different colours possible on flags, wha are the total signals possible for a boat to make?The Martian language can be written in the familiar Roman alphabet, which has 21 consonants (B, C, D, F, G, H, J, K, L, M, N, P, Q, R, S, T, V, W, X, Y, Z) and 5 vowels (A, E, I, O, U). All Martian nouns begin with a consonant, followed by one or more vowel-consonant pairs. However, no consonant can appear more than once in a single noun, and no vowel can appear more than once in a single noun. For example, VUX, DIYOK, and ZOBALUT are possible Martian nouns, but X, VUV, DIYIK, and ZEZELAL are not. How many Martian nouns are possible? Your answer must be a number. Briefly explain your answer. Recent expeditions to Mars have cast doubt on whether the Martian language can be written with exactly 21 consonants and 5 vowels. Suppose that Martian requires c consonants and v vowels, where c > 0, v > 0, and c > v. Express the number of possible Martian nouns in terms of c and v. Your answer need not be in closed form.How many different meals can occur when there are 10 different salads, 23 different deserts, and 5 main dishes. You can choose one main dish one salad and two deserts – no duplication on the deserts.
- Suppose we want to choose 2 letters, without replacement, from the 5 letters A, B, C, D, and E. a) How many ways can this be done, if the order of the choices is relevant? b) How many ways can this be done, if the order of the choices is not relevant?Assume a boat sends signals by arranging six colored flags on a vertical flagpole. If there are two red and four green flags, how many different signals can we make?In an encyclopedia of language, the author presents five sentences that make a reasonable paragraph regardless of their order. The sentences are listed below. Mark had told him about the foxes. John looked out of the window. Could it be a fox? However, nobody had seen one for months. He thought he saw a shape in the bushes. In how many different orders can the five sentences be arranged?
- In how many ways can the letters of the word “LEADER” be arranged?iquestions to be asnwered part of 6 parts: a. How many listened to only rock music? n(only rock)= b. How many listened to classical and jazz, but not rock? n(classical and jazz, not rock)= c. How many listened to classical or jazz, but not rock? n( classical or jazz, not rock) = d. how many listened to music in exactly one of the musical styles? n( exactly one style) = e. How many listened to music in exactly two of the musical styles? n( exactly two styles) = f.how many did not listen to any of the musical styles? n( none) =A student cafeteria offers the following special. For a certain price, we can have our choice of one out of four salads, one out of five main courses, and something for dessert. For dessert, we can either choose one out of five sundaes, or we can choose one of four gourmet coffees and, no matter which gourmet coffee we choose, one out of two cookies. How many different meals can a customer buying this special have? of Format BIU 12:31 PM 86°F Mostly cloudy 8/25/2021