How many words can be formed from the letters of the word DOGMATIC, if all the vowels remain together?
43
432
4140
4320
How many 10 digit numbers can be written by suing digits 9 and 2
10c1 + 9c2
210
10c2
10!
The coefficient of x in the expansion of (1+x)(1+2x)(1+3x)...(1+100x) is
5050
10100
5151
4950
The total number of terms in the expansion of (x+y)100 +(x-y)100 after simplification is
51
202
100
50
The ninth term of the expansion is
The number of positive odd divisors of 216 is
4
6
8
12
The coefficient of x-7 in the expansion of will be
, then r is
5
3
2
The sum of the digits in the unit place of all numbers formed with the help of 3,4,5,6 taken all at a time is
18
108
144
From 12 books, the difference between number of ways a selection of 5 books when one specified book is always excluded and one specified book is always included, is
64
118
132
330
