Question 1

Determine whether $4! = 8!/2!$   is true or false.

Accepted Answer

False

Answer

True

Question 2

Determine whether $15! = 15●14●13!$  is true or false.

Accepted Answer

True

Answer

False

Question 3

Determine whether $18! = 19!/19$  is true or false.

Accepted Answer

True

Answer

False

Question 4

Evaluate   $_6P_3$

Accepted Answer

120

Answer

720

Answer

6

Answer

100

Question 5

Evaluate $_7P_3$

Accepted Answer

210

Answer

6

Answer

5040

Answer

24

Question 6

Evaluate  $_8P_4$

Accepted Answer

1680

Answer

120

Answer

40, 320

Answer

24

Question 7

Find the number of different arrangements of the set of six  letters { $w,  i,, s,  d,  o,  m$ } taken 2 at a time.

Accepted Answer

30

Answer

720

Answer

24

Answer

2

Question 8

In how many different orders can the letters in the set { $a,  e,  i,  o,  u$ } be written?

Accepted Answer

120

Answer

24

Answer

720

Answer

25

Question 9

In how many different ways can five people be seated in a row?

Accepted Answer

120

Answer

20

Answer

720

Answer

25

Question 10

In how many different ways can $8$ people line up for registration?

Accepted Answer

40,320

Answer

5,040

Answer

720

Answer

8

Question 11

If $10$ people are entered in a race and they all finish with no ties, in how many ways can they finish?

Accepted Answer

3, 628, 800

Answer

362, 880

Answer

5040

Answer

40, 320

Question 12

In how many ways can two queens be drawn from a standard deck of cards?

Accepted Answer

12

Answer

2

Answer

24

Answer

4

Question 13

How many three digit numbers can be form from the digits $1, 2, 3, 4,$ and $5$ with no repetitions allowed?

Accepted Answer

60

Answer

45

Answer

20

Answer

15

Question 14

In how many ways can $8$ people be seated at a round table?

Accepted Answer

5040

Answer

40, 320

Answer

720

Answer

35, 240

Question 15

In how many ways can $5$ students be seated in a row if $2$ particular students must be seated next to each other?

Accepted Answer

48

Answer

6

Answer

120

Answer

24

Question 16

Determine the number of permutations of the  word $BOOKKEEPER$.

Accepted Answer

151, 200

Answer

30, 240

Answer

720

Answer

50, 340

Question 17

Determine the number of permutations of the  word $STATISTICS$.

Accepted Answer

50, 400

Answer

90

Answer

30, 240

Answer

100. 800

Question 18

How many numbers of $10$ digits each can be formed if the digit $1$ is to be used twice, the digit $7$ to be used $4$ times, and the digit $9$ to be used $4$ times?

Accepted Answer

3,150

Answer

6,540

Answer

2,590

Answer

64

Question 19

In how many ways can $9$ persons be seated in a round table with $9$ chairs if $3 $individuals insist on sitting next to each other?

Accepted Answer

4,320

Answer

8, 450

Answer

40,320

Answer

30, 240

Question 20

Solve for n : $_nP_2$ = 30

Accepted Answer

6

Answer

8

Answer

4

Answer

5

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