1
JEE Advanced 2022 Paper 2 Online
+3
-1
Consider 4 boxes, where each box contains 3 red balls and 2 blue balls. Assume that all 20 balls are distinct. In how many different ways can 10 balls be chosen from these 4 boxes so that from each box at least one red ball and one blue ball are chosen ?
A
21816
B
85536
C
12096
D
156816
2
JEE Advanced 2018 Paper 2 Offline
+3
-1
In a high school, a committee has to be formed from a group of 6 boys M1, M2, M3, M4, M5, M6 and 5 girls G1, G2, G3, G4, G5.

(i) Let $$\alpha$$1 be the total number of ways in which the committee can be formed such that the committee has 5 members, having exactly 3 boys and 2 girls.

(ii) Let $$\alpha$$2 be the total number of ways in which the committee can be formed such that the committee has at least 2 members, and having an equal number of boys and girls.

i) Let $$\alpha$$3 be the total number of ways in which the committee can be formed such that the committee has 5 members, at least 2 of them being girls.

(iv) Let $$\alpha$$4 be the total number of ways in which the committee can be formed such that the committee has 4 members, having at least 2 girls such that both M1 and G1 are NOT in the committee together.

The correct option is
A
P $$\to$$ 4; Q $$\to$$ 6; R $$\to$$ 2; S $$\to$$ 1
B
P $$\to$$ 1; Q $$\to$$ 4; R $$\to$$ 2; S $$\to$$ 3
C
P $$\to$$ 4; Q $$\to$$ 6; R $$\to$$ 5; S $$\to$$ 2
D
P $$\to$$ 4; Q $$\to$$ 2; R $$\to$$ 3; S $$\to$$ 1
3
JEE Advanced 2016 Paper 1 Offline
+3
-1
A debate club consists of 6 girls and 4 boys. A team of 4 members is to be select from this club including the selection of a captain (from among these 4 members ) for the team. If the team has to include at most one boy, then the number of ways of selecting the team is
A
380
B
320
C
260
D
95
4
JEE Advanced 2014 Paper 2 Offline
+4
-1
Six cards and six envelopes are numbered 1, 2, 3, 4, 5, 6 and cards are to be placed in envelopes so that each envelope contains exactly one card and no card is placed in the envelope bearing the same number and moreover the card numbered 1 is always placed in envelope numbered 2. Then the number of ways it can be done is
A
264
B
265
C
53
D
67
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