L CHSpter 4 Quiz-Blackt X + Y ? ? ? A https://tlack tentWrapper jspcontent id 46

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L CHSpter 4 Quiz-Blackt X + Y ? ? ? A https://tlack tentWrapper jspcontent id 467101.1 Home Library Student Help Startish Student Lite Con Graded Adtivitiles Chapter 4 Quiz Question 12. Points possible: 1 This is attempt 1 of 3 5-letter "words" are formed using the letters A, B, C, D, E, F, G. How many such words are possible for each of the following conditions? (a) No condition is imposed Your answer is: Preview (b) No letter can be repeated in a word. Your answer is: Preview (c) Each word must begin with the letter A Your answer is: (d) The letter C must be at the end. Your answer is : [ (e) The second letter must be a vowel. Your answer is : Preview ) Preview Preview Question 13, Points possible: 1 This is attempt 1 of 3. in how many ways can 5 students be seated in a row of 5 chairs if Jack insists on siting in the first chair? Your answer is: Preview Oo Type here to search

Explanation / Answer

a)
If there is no condition each letter can be selected in 7C1 ways.
Hence, total possible words are 7^5 = 16807

b)
If no letter to be repeated possible words are 7C1 *6C1 *5C1 *4C1 *3C1 = 2520

c)
There is only 1 way to select first letter remaining can be selected in 7^4.
Hence, possible words are 1 * 7^4 = 2401

d)
Last letter must be C, there is only one way to select last letter.
Possible number of words 7^4 *1 = 2401

e)
Second letter can be selected in 2C1 ways i.e. eithre A or E remaining letter can be selected in 7^4 ways
Possible number of words are 2C1 *7^4 = 4802

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