Question 1: Palette 1/10

BITSAT 2024 MCQ

A person invites a party of 10 friends at dinner and place so that 4 are on one round table and 6 on the other round table. The number of ways in which he can arrange the guests is

A

$ \frac{10!}{6!} $

B

$ \frac{10!}{24} $

C

$ \frac{9!}{24} $

D

None of these

Question 2: Palette 2/10

BITSAT 2024 MCQ

How many different nine digit numbers can be formed from the number 223355888 by rearranging its digits so that the odd digits occupy even positions

A

16

B

36

C

60

D

100

Question 3: Palette 3/10

BITSAT 2023 MCQ

The number of different 6-digit numbers in which only and all the five digits $1,3,5,7$ and 9 appear is

A

1200

B

1600

C

2000

D

1800

Question 4: Palette 4/10

BITSAT 2023 MCQ

The number of words (with or without meaning) that can be formed from all the letters of the word "LETTER" in which vowels never come together is

A

80

B

100

C

120

D

140

Question 5: Palette 5/10

BITSAT 2022 MCQ

The number of different seven-digit numbers that can be written using only the three digits 1, 2 and 3 with the condition that the digit 2 occurs twice in each number is

A

⁷C₂2⁵

B

⁷p₂2⁵

C

⁷C₂5²

D

None of these

Question 6: Palette 6/10

BITSAT 2022 MCQ

The number of ways of arranging letters of the word HAVANA so that V and N do not appear together is

A

40

B

60

C

80

D

100

Question 7: Palette 7/10

BITSAT 2021 MCQ

The maximum number of points of intersection of 10 circles is :

A

80

B

90

C

85

D

95

Question 8: Palette 8/10

BITSAT 2020 MCQ

The number of numbers divisible by 3 that can be formed by four different even digits is

A

36

B

18

C

0

D

None of these

Question 9: Palette 9/10

BITSAT 2020 MCQ

How many three digit number satisfy the property that the middle digit is arithmetic mean of the first and the last digit.

A

41

B

45

C

43

D

44

Question 10: Palette 10/10

BITSAT 2020 MCQ

If 4 dice are rolled, then the number of ways of getting the sum 10 is

A

56

B

64

C

72

D

80