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Four boys picked 30 apples. The number o...

Four boys picked 30 apples. The number of ways in which they can divide then if all the apples are identical is

A

5630

B

4260

C

5456

D

None

Text Solution

Verified by Experts

The correct Answer is:
C
The number of ways to divide n identical things among r persons `=^(n + r -1)C_(r-1)` (By multinomial theorem)
n = 30 , r = 40
Req. no of ways `=^(30 + 4 -1)C_(4-1) = ^(33)C_(3) = (33 xx 32 xx 31)/(3 xx 2) = 5456`
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CAREER POINT-MOCK TEST 1-PART (C) - MATHS
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