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Quiz

Lesson 1: Counting Principle, Permutations (nPr) and Combinations (nCr) — Picture questions (exam style)

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  • Questions count: 11
  • Passing grade: 60%
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1.
In how many ways can 8 people sit in a row (figure) if two particular people sit at the two ends?
In how many ways can 8 people sit in a row (figure) if two particular people sit at the two ends?
2880
720
40320
1440
2.
How many 3-digit numbers greater than 400, with different digits, can be made from the cards?
How many 3-digit numbers greater than 400, with different digits, can be made from the cards?
60
30
24
10
3.
In how many ways can 7 people sit in a row (figure) if two particular people sit at the two ends?
In how many ways can 7 people sit in a row (figure) if two particular people sit at the two ends?
5040
120
240
480
4.
How many 4-digit numbers greater than 5000, with different digits, can be made from the cards?
How many 4-digit numbers greater than 5000, with different digits, can be made from the cards?
12
24
1
6
5.
In how many ways can 5 people sit in a row (figure) if two particular people sit at the two ends?
In how many ways can 5 people sit in a row (figure) if two particular people sit at the two ends?
6
24
12
120
6.
How many 3-digit numbers with different digits can be made from the cards shown?
How many 3-digit numbers with different digits can be made from the cards shown?
24
49
28
33
7.
How many 4-digit numbers greater than 3000, with different digits, can be made from the cards?
How many 4-digit numbers greater than 3000, with different digits, can be made from the cards?
240
150
15
360
8.
In how many ways can 6 people sit in a row (figure) if two particular people sit at the two ends?
In how many ways can 6 people sit in a row (figure) if two particular people sit at the two ends?
24
720
48
96
9.
How many 3-digit numbers greater than 300, with different digits, can be made from the cards?
How many 3-digit numbers greater than 300, with different digits, can be made from the cards?
20
60
120
80
10.
How many even 4-digit numbers with different digits can be made from the cards?
How many even 4-digit numbers with different digits can be made from the cards?
360
15
180
240
11.
How many 4-digit numbers greater than 3000, with different digits, can be made from the cards?
How many 4-digit numbers greater than 3000, with different digits, can be made from the cards?
28
24
33
49
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