Wiley Edge Permutations and Combination Quiz-2

Question 1

Time: 00:00:00
How many permutations can be formed from the letters of the word "SLACK"?

15

15

30

30

60

60

120

120

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Question 2

Time: 00:00:00
A group of 10 people, including 4 musicians and 6 artists, are to be seated at a circular table. In how many ways can they be seated such that no two musicians are sitting next to each other?

7! * C(6, 4) * 4!

7! * C(6, 4) * 4!

6! * C(6, 4) * 4!

6! * C(6, 4) * 4!

8! * C(6, 4) * 4!

8! * C(6, 4) * 4!

5! * C(6, 4) * 4!

5! * C(6, 4) * 4!

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Question 3

Time: 00:00:00
How many permutations can be formed from the letters of the word "REACT"?

15

15

30

30

60

60

120

120

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Question 4

Time: 00:00:00
In how many ways can 8 different books be arranged on a shelf, such that 3 specific books are always together?

4,320

4,320

5,400

5,400

4,750

4,750

3,600

3,600

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Question 5

Time: 00:00:00
In how many ways can the letters of the word "EXAMINATION" be arranged such that no two vowels are adjacent?

8! * 7 * 8!

8! * 7 * 8!

6! * 7 * 6!

6! * 7 * 6!

7! * 6 * 7!

7! * 6 * 7!

6! * 8 * 6!

6! * 8 * 6!

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Question 6

Time: 00:00:00
A group of 12 students, including 6 boys and 6 girls, are to be arranged in a row for a photograph. If the boys and girls must alternate, how many different arrangements are possible?

7! * 7!

7! * 7!

6! * 6!

6! * 6!

6! * 7!

6! * 7!

8! * 7!

8! * 7!

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Question 7

Time: 00:00:00
In how many ways can the digits 1, 2, 3, 4, 5, 6, 7 be arranged to form a six-digit number such that the even digits occupy even positions?

4! * 4!

4! * 4!

3! * 3!

3! * 3!

5! * 3!

5! * 3!

3! * 4!

3! * 4!

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Question 8

Time: 00:00:00
A password consists of 5 letters where repetitions are allowed. If the letters are chosen from the 26 letters of the English alphabet, how many different passwords are possible?

$5^52$

$5^52$

$26^5$

$26^5$

$52^5$

$52^5$

$5^26$

$5^26$

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Question 9

Time: 00:00:00
How many different ways can the letters of the word "INDEPENDENCE" be arranged such that no two vowels are adjacent?

10! / (3! * 2!)

10! / (3! * 2!)

8! * 9! * 5! / (3! * 2! * 4! * 4!)

8! * 9! * 5! / (3! * 2! * 4! * 4!)

10! / 3!

10! / 3!

9! / 3!

9! / 3!

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Question 10

Time: 00:00:00
A group of 10 friends wants to take a group photo. In how many different ways can they arrange themselves in a row if 4 friends must always stand next to each other?

4! * 6!

4! * 6!

4! * 7!

4! * 7!

5! * 6!

5! * 6!

5! * 7!

5! * 7!

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["0","40","60","80","100"]
["Need more practice!","Keep trying!","Not bad!","Good work!","Perfect!"]

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