1
JEE Main 2018 (Offline)
+4
-1
From 6 different novels and 3 different dictionaries, 4 novels and 1 dictionary are to be selected and arranged in a row on a shelf so that the dictionary is always in the middle. The number of such arrangements is :
A
at least 750 but less than 1000
B
at least 1000
C
less than 500
D
at least 500 but less than 750
2
JEE Main 2018 (Online) 15th April Evening Slot
+4
-1
The number of four letter words that can be formed using the letters of the word BARRACK is :
A
120
B
144
C
264
D
270
3
JEE Main 2018 (Online) 15th April Morning Slot
+4
-1
n$$-$$digit numbers are formed using only three digits 2, 5 and 7. The smallest value of n for which 900 such distinct numbers can be formed, is :
A
6
B
7
C
8
D
9
4
JEE Main 2017 (Online) 9th April Morning Slot
+4
-1
The number of ways in which 5 boys and 3 girls can be seated on a round table if a particular boy B1 and a particular girl G1 never sit adjacent to each other, is :
A
5 $$\times$$ 6!
B
6 $$\times$$ 6!
C
7!
D
5 $$\times$$ 7!
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