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Q.

Match the following                                                                       

Column - I

Column - II

A)

Number of ways selecting  8 balls out of

an unlimited collection of Red , blue ,green

and  yellow balls is

P)

 21C3

B)

Number of 4 digit numbers having the sum

of the digits equal to 9 is

Q)

Number of ways of

distributing 12 apples to

four people with each one

getting at least one

C)

Number of ways of arranging 3 identical

red balls 20 identical white balls in a row

so that no two red balls are together is

R)

6

D)

Exponent of 3 in 17! is

S)

 11C3

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a

A- Q,S;  B-Q,S;  C-P;  D-R

b

A- P,R;  B-Q;  C-R;  D-P,S 

c

A- P,Q;  B-Q,S;  C-S,R;  D-R

d

A- S;  B-R;  C-R,S;  D-P,Q

answer is A.

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Detailed Solution

A) Non-negative integral solutions of
   R+B+G+Y=8  8+41C41=11C3
B)  D1+D2+D3+D4=9D10
 D11+D2+D3+D4=8
  8+41C41=  11C3
C) Select ‘3’ places out of 21 places  =  21C3
D)  [173]+[1732]=5+1=6

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