TS EAMCET 14-Sep-2020 Shift 2 Solved Paper

The number of positive integral solution of x1+x2+x3+x4=10 is ‌9C3=‌

9×8×7

1×2×3

=84
∴ Statement I is false.
The exponent of 2 in 25! is [‌

25

2

]+[‌

25

4

]+[‌

25

8

]+[‌

25

16

]=12+6+3+1=22
The exponent of 5 in (25)! is
[‌

25

5

]+[‌

25

25

]=5+1=6
∴ Exponent of 10 in 25!=6
Hence, (25)!=106×k⇒k∈N
∴ Statement II is true.