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'''Problem'''
'''Problem'''
−
Say, three people are
Say, three people are
eligible to win two distinct prizes.
eligible to win two distinct prizes.
−
'''Method'''
'''Method'''
Now the students can reason this out. They can use the counting sticks to solve this simple permutation. They can use certain colours to distinguish the participants, who won, who didn’t. They can also write the three names on a sheet of paper and use three colours for winners and losers as shown below.
Now the students can reason this out. They can use the counting sticks to solve this simple permutation. They can use certain colours to distinguish the participants, who won, who didn’t. They can also write the three names on a sheet of paper and use three colours for winners and losers as shown below.
−
'''Win
+
'''Win'''
1 Prize (W1) Win 2 Prize (W2) Loss
1 Prize (W1) Win 2 Prize (W2) Loss
−
(LS)'''
+
(LS)
−
{| border="1"
{| border="1"
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|
|
Shariff
Shariff
−
|
|
'''W1'''
'''W1'''
−
|
|
'''W1'''
'''W1'''
−
|
|
'''W2'''
'''W2'''
−
|
|
'''LS'''
'''LS'''
−
|
|
'''W2'''
'''W2'''
−
|
|
'''LS'''
'''LS'''
−
|-
|-
|
|
Ashwini
Ashwini
−
|
|
'''W2'''
'''W2'''
−
|
|
'''LS'''
'''LS'''
−
|
|
'''W1'''
'''W1'''
−
|
|
'''W1'''
'''W1'''
−
|
|
'''LS'''
'''LS'''
−
|
|
'''W2'''
'''W2'''
−
|-
|-
|
|
Rakesh
Rakesh
−
|
|
'''LS'''
'''LS'''
−
|
|
'''W2'''
'''W2'''
−
|
|
'''LS'''
'''LS'''
−
|
|
'''W2'''
'''W2'''
−
|
|
'''W1'''
'''W1'''
−
|
|
'''W1'''
'''W1'''
−
|}
|}