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(a) In a dog show it is claimed that a dog could read the words Zero', One', "Two', 'Three', 'Four', 'Five', 'Six', 'Seven', 'Eight', 'Nine' written on 10 different cards. The dog is supposed to pick 10 bones numbered 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 in the same order as the words on the cards are arranged. A member of the audience has arranged 3 cards in the order 'Nine', 'Zero' and "Two'. In how many ways can the dog fail to pick the numbered bones correctly? [The dog is considered to have failed even if only one error occurs]. (b) In the table below, the number of black and white buttons in three boxes A, B and C are all distinct. Воx Colour A B Black 3 6 4.

(a) In a dog show it is claimed that a dog could read the words Zero', One', "Two', 'Three', 'Four', 'Five', 'Six', 'Seven', 'Eight', 'Nine' written on 10 different cards. The dog is supposed to pick 10 bones numbered 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 in the same order as the words on the cards are arranged. A member of the audience has arranged 3 cards in the order 'Nine', 'Zero' and "Two'. In how many ways can the dog fail to pick the numbered bones correctly? [The dog is considered to have failed even if only one error occurs]. (b) In the table below, the number of black and white buttons in three boxes A, B and C are all distinct. Воx Colour A B Black 3 6 4.

A First Course in Probability (10th Edition)
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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In a dog show it is claimed that a dog could read the words 'Zero', "One', "Two', "Three', 'Four', 'Five', 'Six', Seven', 'Eight', 'Nine' written on 10 different cards. The dog is supposed to pick 10 bones numbered 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 in the same order as the words on the cards are arranged. A member of the audience has arranged 3 cards in the order 'Nine', 'Zero' and Two'. In how many ways can the dog fail to pick the numbered bones correctly? [The dog is considered to have failed even if only one error occurs]. (a) (b) In the table below, the number of black and white buttons in three boxes A, B and C are all distinct. Воx Colour A B Black 3 6. 5 White 7 4 (i) All the buttons in box A are arranged in a row such that the 3 black buttons are together. In how many different arrangements can this be done? A button is drawn from each of the boxes. If all the buttons drawn are of the same colour, in how many ways can this be done? (ii) 4.
Transcribed Image Text:In a dog show it is claimed that a dog could read the words 'Zero', "One', "Two', "Three', 'Four', 'Five', 'Six', Seven', 'Eight', 'Nine' written on 10 different cards. The dog is supposed to pick 10 bones numbered 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 in the same order as the words on the cards are arranged. A member of the audience has arranged 3 cards in the order 'Nine', 'Zero' and Two'. In how many ways can the dog fail to pick the numbered bones correctly? [The dog is considered to have failed even if only one error occurs]. (a) (b) In the table below, the number of black and white buttons in three boxes A, B and C are all distinct. Воx Colour A B Black 3 6. 5 White 7 4 (i) All the buttons in box A are arranged in a row such that the 3 black buttons are together. In how many different arrangements can this be done? A button is drawn from each of the boxes. If all the buttons drawn are of the same colour, in how many ways can this be done? (ii) 4.
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