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In a bag we have 17 balls numbered by 5 + k • 125, k = 0, ..., 16, i.e. by 5,130, 255, 380, 505,.. 1755, 1880, 2005. If we select several balls at random, what is the smallest n of balls needed to guarantee that the selection contains at least one pair of balls that add up to 2010?
O A. 7 O B. 8 O C. 10 O D. 11 O E. 17
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- 2.Find the number of 6-letter words that use letters from {A,B,C,D,E} in which no 5 consecutive letters are all the same. (Hint. First count the words that you don'twant to include.)There are 45 tickets, each one has a digit between 1 and 9 on it and each has a letter A, B, C, D, or E on it. Here is a table of all the tickets: 3 4 6. 7 8 9. A A1 A2 АЗ A4 A5 A6 A7 A8 A9 B1 B2 B3 B4 B5 B6 B7 B8 B9 C C1 C2 C3 C4 C5 C6 C7 C8 C9 D D1 D2 D3 D4 D5 D6 D7 D8 D9 E E1 E2 E3 E4 E5 E6 E7 E8 E9 You pick six tickets at random. What it the probability all six of them have different letters on them?4. When the merchants in the annual Math Department Parade lined up 4 abreast, there was 1 odd person, when they tried 5 in a line, there were 2 left over; and when 7 abreast, there were 3 left over. How large is the Department?
- in a rugby match, a tie at the end of two overtime. Leads to a shoot out with five cakes taken by each team from the center of the 22 m line. Each kid must be taken by a different player. How many ways can five players be selected from the 15 eligible players for the five selected players how many ways can they be designated as first, second, third, fourth, and fifth? 5 players can be selected from the 15 eligible players in ___ different ways. Out of those 5 players that are selected, they can be designated at first, second, third, fourth, and fifth in ____ different ways1. Once a month, a man puts some money in a cookie jar. During the 1st month he has P10.50 and each month he adds P0.50 more into the jar. How much money was placed in the jar during the last month of the 4th year?2. The seats in a theater are arranged so that there are 70 seats in the 1st row, 72 seats in the 2nd row and so on for 30 rows altogether. How many seats in all are there in the theater?5. Hilda owns several hens on her family's farm. She decides to record the total number of eggs produced by the hens over a given time period. How many days after Hilda starts counting the eggs will there be 84 eggs produced? Hilda's Hens 50 30 20 10 men 2 Tso 4 Day a. 8 days b. 10 days c. 12 days d. 14 days Total Number of Eggs Produced
- The Venn diagram below shows the number of students in Mrs. Crane's homeroom who were on Honor Roll, taking advanced classes or had perfect attendance for the first quarter. Honor Roll Advanced Classes 2 5 3 2 4 4 Perfect Attendance How many students are taking advanced classes and on Honor Roll, but did not have perfect attendance?64 ). In a lottery daily game, a player picks three numbers from 0 to 9. How many different choices does the player have if order doesn’t matter?Some companies who make those annoying phone calls to try to sell you something generate the phone numbers randomly. a. Given that seven-digit phone numbers NNN-NNNN can't have a 0 or a 1 as the fist digit, how many different numbers are possible (within one area code)? type your answer... possibile numbers b. One company is working your area code tonight, 10 people each making an average of 20 calls per hour. If it takes your family a half hour to each supper, what's the probability you get a call during mealtime? P(call during mealtime)- type your answer... 3 d $ f % V t 9 C311 6 b y h D 7 alt ctrl backs
- 1). A die was tossed 60 times and resulted in: 7 ones, 11 twos, 10 threes, 12 fours, 9 fives and 11 sixes. Calculate A.Asap19. How many 3 cards be formed if 2 are black and 1 is red in a 52 deck of cards? a. 8450 b. 16900 C. 4225 d. 217 20. A box contains 5 red, 4 blue, and 3 white balls. In how many ways can we select 3 balls such that they are of different colors? а. 10 b. 18 С. 48 d. 60
