1
AIEEE 2010
+4
-1
There are two urns. Urn A has 3 distinct red balls and urn B has 9 distinct blue balls. From each urn two balls are taken out at random and then transferred to the other. The number of ways in which this can be done is
A
36
B
66
C
108
D
3
2
AIEEE 2009
+4
-1
From 6 different novels and 3 different dictionaries, 4 novels and 1 dictionary are to be selected and arranged in a row on a shelf so that the dictionary is always in the middle. Then the number of such arrangement is :
A
at least 500 but less than 750
B
at least 750 but less than 1000
C
at least 1000
D
less than 500
3
AIEEE 2008
+4
-1
In a shop there are five types of ice-cream available. A child buys six ice-cream.
Statement - 1: The number of different ways the child can buy the six ice-cream is $${}^{10}{C_5}$$.
Statement - 2: The number of different ways the child can buy the six ice-cream is equal to the number of different ways of arranging 6 A and 4 B's in a row.
A
Statement - 1 is false, Statement - 2 is true
B
Statement - 1 is true, Statement - 2 is true, Statement - 2 is a correct explanation for Statement - 1
C
Statement - 1 is true, Statement - 2 is true, Statement - 2 is not a correct explanation for Statement - 1
D
Statement - 1 is true, Statement - 2 is false
4
AIEEE 2008
+4
-1
How many different words can be formed by jumbling the letters in the word MISSISSIPPI in which no two S are adjacent?
A
$$8.{}^6{C_4}.{}^7{C_4}$$
B
$$6.7.{}^8{C_4}$$
C
$$6.8.{}^7{C_4}$$.
D
$$7.{}^6{C_4}.{}^8{C_4}$$
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