(a) A game is played by selecting 5 balls from 10 red, 7 blue and 8 green. How many ways can the 5balls be selected if:(1) Any 5 balls?(ii) No red balls?(iii) 2 red, 2 blue, and 1 green?(b) A password consists of 5 letters followed by 4 digits. How many passwords are possible if:(i) Letters and digits can be repeated?(ii) Digits can be repeated but not letters?

HERE AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION KINDLY REPOST FOR REMAINING WITH NOTE I…

Answered: (a) A game is played by selecting 5…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A math instructor has 46 calculators in her office. Of them, 22 have dead batteries, 28 have cracked displays, and 24 have missing buttons. Of those with dead batteries, 16 have cracked displays and 11 have missing buttons. Of those with cracked displays, 18 have missing buttons. There are 9 with dead batteries, cracked displays, and missing buttons. How many calculators does she have with nothing wrong with them? (A) 6 (В) 4 (C) 5 (D) 9 (E) 8 (F) 3 (G) 1 (H)
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A bagel shop has a selection of 8 different kinds of bagels (at least 10 of each). (.1) How many different selections of 10 bagels can be made? ( .2) If garlic is one kind of available bagel and onion is another, how many different selections of 10 bagels can you make so that you have at least 3 onion bagels and exactly 2 garlic bagels?
Note: In this problem set, the notation C(n, k) is used for the combination "n choose k." Alternate notation: ( ) 17.) A hand of 5 cards is dealt in a poker game. How many poker hands are possible with: (a) exactly 3 Jacks? (b) only one color (red or black)? (c) a full house (3 of one kind of card and 2 of another)?
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A basket contains 2 pink, 3 yellow, 8 red, and 1 black jelly beans. You grab a handful of 4 jelly beans. (a) How many groups of 4 jelly beans include exactly 1 of each color? (b) How many groups of 4 jelly beans include at most 1 yellow?

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(a) A game is played by selecting 5 balls from 10 red, 7 blue and 8 green. How many ways can the 5 balls be selected if: (1) Any 5 balls? (ii) No red balls? (iii) 2 red, 2 blue, and 1 green?