Counting (1) (Protected View) - Word X Sign in Tell me what you want to do Mailings 8Share File Home Insert Design References Review Layout View Enable Editing PROTECTED VIEW Be careful-files from the Internet can contain viruses. Unless you need to edit, it's safer to stay in Protected View. (b) How many of the arrangements in (a) will have the letters 'O'together? 4 trombones and 1 drum. He has to choose the musicians from a group of 25 people, Each person in the group can play any of the instruments mentioned. The director is only concerned with the arrangement of the instruments, that is, he views all the players as identical. (a) How many arrangements are possible? (b) How many arrangements are possible if the director decides to put the drum in the centre, the trumpets and trombones on the left and the clarinets and flutes on the right? 5. A box contains 20 coloured balls. There are 5 balls each with the following colours: blue, red, yellow and green. The 5 balls of each colour are numbered from one to five. 4 balls are randomly selected at once. (a) How many ways can 4 ballls of the same colour be selected? (b) How many ways can exactly 2 of the 4 balls selected have the same colour? (c) How many ways can the 4 balls selected consist of 2 balls each of two different numbers? Abox contains nine white marbles and three black marbles. Four marbles are randomly selected at once from the box. 11. 6. (a) How many ways can a teacher form a committee of 3 members from a class of 4 boys and 3 girls? (b) How many committees in (a) has exactly one girl? (c) How many committees in (a) has at least one girl? (a) How many ways can you select exactly one black marble? (b) How many ways can you select at least one black marble? 12. A newly married couple wants to put up a string of coloured lights for a party in their house. They have an clectrical cord which can hold 25 light bulbs in a line. The couple has 8 red bulbs, 5 blue bulbs, 9 green bulbs and one cach of yellow, white and orange. (a) How many ways can they arrange these coloured bulbs along their electrical cord? (b) How many of these arrangements will have the 5 blue bulbs together? 7. A school Debate Club has 15 members of which 7 are boys and 8 are girls. (a) How many ways can a teacher choose 3 members of the club to represent the school? (b) How many ways can 3 debaters be chosen if the teacher avoids choosing all boys and all girls? 8. A box contains 9 white balls and 3 black balls. If 3 words Page 3 of 4 100%