IIT-JEE-Mains-Mathematics-Permutations-and-Combinations-mcq-3

TS EAMCET MATHS PRACTICE MCQ

1/10

All possible numbers are formed using the digits 1, 1, 2, 2, 2, 2, 3, 4, 4 taken all at a time. The number of such numbers in which the odd digits occupy even places is [JEE Main 2019, 8 April Shift-I]

1)180

2)175

3)160

4)162

2/10

The number of four-digit numbers strictly greater than 4321 that can be formed using the digits 0, 1, 2, 3, 4, 5 (repetition of digits is allowed) is [JEE Main 2019, 8 April Shift-II]

1)306

2)310

3)360

4)288

3/10

A committee of 11 members is to be formed from 8 males and 5 females. If m is the number of ways the committee is formed with at least 6 males and n is the number of ways the committee is formed with atleast 3 females, then [JEE Main 2019, 9 April Shift-I]

1) m= n=68

2)m+n = 68

3)m =n=78

4)n= m − 8

4/10

The number of 6 digits numbers that can be formed using the digits 0, 1, 2,5, 7 and 9 which are divisible by 11 and no digit is repeated, is [JEE Main 2019, 10 April Shift-I]

1)60

2)72

3)48

4)36

5/10

Suppose that 20 pillars of the same height have been erected along the boundary of a circular stadium. If the top of each pillar has been connected by beams with the top of all its non-adjacent pillars, then the total number of beams is [JEE Main 2019, 10 April Shift-II]

1)180

2)210

3)170

4)190

6/10

The number of ways of choosing 10 objects out of 31 objects of which 10 are identical and the remaining 21 are distinct, is[JEE Main 2019, 12 April Shift-I]

1)\(2^{20}-1\)

2)`2^{21}`

3)\(2^{20}\)

4)`2^{20}+1`

7/10

A group of students comprises of 5 boys and n girls. If the number of ways, in which a team of 3 students can randomly be selected from this group such that there is at least one boy and at least one girl in each team, is 1750, then n is equal to [JEE Main 2019, 12 April Shift-II]

1)28

2)27

3)25

4)24

8/10

Consider a class of 5 girls and 7 boys. The number of different teams consisting of 2 girls and 3 boys that can be formed from this class, if there are two specific boys A and B, who refuse to be the members of the same team, is [JEE Main 2019, 9 Jan Shift-I]

1)350

2)500

3)200

4)300

9/10

The number of natural numbers less than 7,000 which can be formed by using the digits 0, 1, 3, 7, 9 (repitition of digits allowed) is equal to [JEE Main 2019, 9 Jan Shift-II]

1)374

2)375

3)372

4)250

10/10

There are m men and two women participating in a chess tournament. Each participant plays two games with every other participant. If the number of games played by the men between themselves exceeds the number of games played between the men and the women by 84, then the value of m is [JEE Main 2019, 12 Jan Shift-II]

1)12

2)11

3)9

4)7

Result: