the probability of three digit negative natural number is
Answers
Answered by
1
Explanation:
ANSWER
Assume z to be 0,2,4,6,8,10 and find solution of x+y=10−z, we get
Case 1: z=0⇒x+y=10 and x,y∈{0,1,2,...,10}
This can be done in
10+2−1
C
2−1
=
11
C
1
ways.
Case 2: z=2⇒x+y=8 and x,y∈{0,1,2,....,8}
This can be done in
8+2−1
C
2−1
=
9
C
1
ways.
Similarly, we can obtain for all the cases as
7
C
1
,
5
C
1
,
3
C
1
and
1
C
1
ways.
The total number of solutions for the given expression is
10+3−1
C
3−1
=
12
C
2
ways.
Hence, probability =
12
C
2
11
C
1
+
9
C
1
+
7
C
1
+
5
C
1
+
3
C
1
+
1
C
1
=
66
36
=
11
6
Hence, option C is correct.
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2
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