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Answers
ANSWER : For inline formulas, enclose the formula in $...$. For displayed formulas, use $$...$$.
These render differently. For example, type
$\sum_{i=0}^n i^2 = \frac{(n^2+n)(2n+1)}{6}$
to show ∑
n
i=0
i2=
(n2+n)(2n+1)
6
(which is inline mode) or type
$$\sum_{i=0}^n i^2 = \frac{(n^2+n)(2n+1)}{6}$$
to show
n
∑
i=0 i2=
(n2+n)(2n+1)
6
hope it helps
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his second example::
Let I=7
n
+7
m
, then we observe that 7
1
,7
2
,7
3
and 7
4
ends in 7,9,3 and 1 respectively.
Thus, 7
1
ends in 7, 9, 3 or 1 according as i is of the form 4k + 1, 4k + 2, 4k - 1 and 4k respectively.
If S is the sample space, then n(S)=(100)
2
7
m
+7
n
is divisible by 5, if
(i) m is of the form 4k + 1 and n is of the form 4k - 1 or
(ii) m is of the form 4k + 2 and n is of the form 4k or
(iii) m is of the form 4k - 1 and n is of the form 4k + 1 or
(iv) m is of the form 4k and n is of the form 4k + 2 or
So, number of favourable ordered pairs (m,n)=4×25×25
∴ Required probability =
(100)
2
4×25×25
=
4/1