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8 people (including brajesh) go for a picnic. At the end of the day, they all line up for a photograph. In how many ways can they line up if brajesh's friend rajendra wants to stand next to brajesh. In the options below, n! = 1*2*...*n is the factorial function (e.g. 4! = 24).
7!
6! + 2
8!
2*(7!)
2*(6!)

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TCS Other Question

dhiman is trying to hone his skills on counting and comes across the following problem.
How many 4 digit numbers are divisible by 5 with all the digits distinct? In the options below, n! = 1*2*...*n is the factorial function (e.g. 4! = 24).
His answer would be :
18*9!/7!
9!/6!
8*8!/6!
16*8!/6!
17*8!/6!
While on your way to the movie 'megamind', you come across an apartment numbered 1911. You realize that the sum of any three consecutive digits of this number is 11. You wonder whether it is possible to construct larger numbers with this property. Your friend tells you it is possible and says that he has a 100 digit number N with this property and which starts with a 9. Find the last digit of N.
The last digit cannot be determined as N is not unique.
0.0
1
9
8