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After the typist writes 100 letters and addresses 100 envelopes she inserts the letters randomly in to the envelopes(1 letter per envelope). What is the probability that exactly 1 letter is inserted in an improper envelop?
0
1-1/100
1/100!
1/100

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TCS Other Question

Alok is attending a workshop how to do more with less and todays theme is working with fewer digits. The speakers discuss how a lot of miraculous mathematics can be achived if mankind (as well as womankind) had only worked with fewer digits. The problem posed at lthe end of the workshop is how many 6 digit numbers can be formed using the digits 1, 2,3,4,5 (but with repetition) that are divible by 4? Can you help Alok find the answer?
3125
3906
1250
3907
The teacher is testing a students proficiency in arithmetic and poses the following question: 1/3 of a number is 3 more than 1/6 of the same number. What is the number? Can you help the student find the answer?
19
6
17
18