MBA Exam

What is the number of distinct terms in the expansion of (a + b + c)20?(1) 231 (2) 253 (3) 242 (4) 210 (5) 228[CAT2008]

1) 1
2) 2
3) 3
4) 4
5) 5

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Read Solution (Total 1)

Number of terms in the given expansion is nothing but the non-negative integral solutions of the equation:

a + b + c = 20

Total number of non-negative integral solutions

(20+3-1)C(3-1) = 22C2 = 231

The correct option is 1.
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MBA Other Question

A triangle has a perimeter of P units. If all the sides are integers find the number of possibilities for the sides if P = 30.Explain approach plz !

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An intelligence agency decides on a code of 2 digits selected from 0,1,2....,9. But the slip on which the code is hand written allows confusion between top and bottom, because these are indistinguishable. Thus, for eg., the code 91 could be confused with 16. How many codes are there such that there is no possibility of any confusion?

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