GROUP #1: Fundamental Principle of Counting1 How many 3-digit numbers can be formed from the digits 1, 2, 3, 4 and 5 assuming that(i)repetition of the digits is allowed.(ii)repetition of the digits is not allowed.repeated?2. How many 3-digit even numbers can be formed from the digits 1, 2, 3, 4, 5, 6 if the digits can bePermutcan be repeated?3. How many 4-letter code can be formed using the first 10 letters of the English alphabet, if no letter4. How many 5-digit telephone numbers can be constructed using the digits 0 to 9 if each number startswith 67 and no digit appears more than once?5. A coin is tossed 3 times and the outcomes are recorded. How many possible outcomes are there?6. Given 5 flags of different colors, how many different signals can be generated if each signal requiresthe use of 2 flags, one below the other?GROUP #2: Permutations1. How many 3-digit numbers can be formed by using the digits 1 to 9 if no digit is repeated?How many 4-digit numbers are there with no digit repeated?2.3. How many 3-digit even numbers can be made using the digits 1, 2, 3, 4, 6, 7, if no digit isrepeated?4.Find the number of 4-digit numbers that can be formed using the digits 1, 2, 3, 4, 5 if no digit isrepeated. How many of these will be even?5. From a committee of 8 persons, in how many ways can we choose a chairman and a vicechairman assuming one person cannot hold more than one position?6. How many words, with or without meaning, can be formed using all the letters of the wordEQUATION, using each letter exactly once?7. How many words, with or without meaning can be made from the letters of the word MONDAY,assuming that no letter is repeated, if :(i)(ii)4 letters are used at a time, (ii) all letters are used at a time,all letters are used but first letter is a vowel?9. In how many of the distinct permutations of the letters in MISSISSIPPI do the four I's not cometogether?10. In how many ways can the letters of the word PERMUTATIONS be arranged if the(iii)words start with P and end with S, (ii) vowels are all together,(iv)there are always 4 letters between P and S?

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Answered: GROUP #1: Fundamental Principle of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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GROUP #1: Fundamental Principle of Counting 1 How many 3-digit numbers can be formed from the digits 1, 2, 3, 4 and 5 assuming that (i) repetition of the digits is allowed. (ii) repetition of the digits is not allowed.