Permutation of n objects taken r at a time

QuizÂ by Rey Alferez Fernandez

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10 questions
• Q1
A password consists of 3 distinct characters that can be chosen from the 26 alphabets. How many different passwords are possible?
17550
15600
1300
19500
30s
• Q2
A group of people are going on a tour. If there are 4 different locations to visit and they can visit each location only once, in how many ways can the group choose the order of locations to visit?
24
12
4
16
30s
• Q3
In a letter to her 5 friends, Alice wants to include a photo. If she has 7 photos to choose from, how many different ways can she include one photo with the letter?
5
21
35
7
30s
• Q4
A school is selecting a president, vice president, and treasurer from a student council of 10 members. How many possible sets of officers are there?
720
840
360
500
30s
• Q5
Six friends are to sit in a row. How many possible arrangements are there?
36
120
500
720
30s
• Q6
In a class of 20 students, a team of 4 will be selected for a debate competition. In how many ways can this team be selected?
4845
690
1600
1160
30s
• Q7
If there are 8 runners in a race and the top 3 positions (1st, 2nd, 3rd) get medals, how many different ways can the medals be awarded?
56
24
96
336
30s
• Q8
A locker combination consists of 3 digits from 0-9. If no digits can be repeated, how many different combinations are possible?
300
720
500
120
30s
• Q9
In how many ways can 5 different books be arranged on a shelf?
30
120
100
25
30s
• Q10
A committee of 5 members is to be formed from a group of 9 people. How many different committees can be formed?
45
504
36
126
30s

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