Question

III HW4-102,10.310.4.10.5 V • Counting and Probability Counting and Probability OD Probability of five-card hands Determining a sample space and outcomes for a compound event PE ty Tags: Goal Took Locked, visoo Tags Go Topic Video Tags: Answer the questions below Х (a) A certain committee consists of 17 people. From the committee, a president, a vice-president, a secretary, and a treasurer are to be chosen. In how many ways can these 4 offices be filled? Assume that a committee member can hold at most one of these offices. 0 (b) To log on to a certain computer account, the user must type in a 3-letter password. In such a password, no letter may be repeated, and only the lower case of a letter may be used. How many such 3-letter passwords are possible? (There are 26 letters in the alphabet.) 0 Start 2020 MG di A De S 2 4 % 5 6 & 7. 8 Q W E R Т. Y U А S D F G H

Answer 1

a) 41 x 131 2 No. of ways to fill & Offices = Tey 171. 17). 4) x(17-4)). 17 x 4x18x14 - 17x245x14 = 2380 4x B xxx1 6) No. of 3 retter Password = 26x25x24 15600 c