(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.
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 54SE: How many unique ways can a string of Christmas lights be arranged from 9 red, 10 green, 6 white, and...
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