The coefficient of x in the expansion of (1+x)(1+2x)(1+3x)...(1+100x) is
5050
10100
5151
4950
The coefficient of x-7 in the expansion of will be
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
432
144
The sum of the rational terms in the expansion of is
41
32
9
The total number of terms in the expansion of (x+y)100 +(x-y)100 after simplification is
51
202
100
50
9 balls are to be placed in 9 boxes and 5 of the balls cannot fit into 3 small boxes. The number of ways of arranging one ball in each of the boxes is
18720
18270
17280
12780
The number of different permutations of the word 'BANANA' is
6
36
30
60
If the rth term in the expansion of contains x4 , then r is equal to
3
0
-3
5
How many words can be formed from the letters of the word DOGMATIC, if all the vowels remain together?
43
4140
4320
, then r is
4
2
