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Mathematical Skills | Permutation and Computation

Q. No. 25:In how many ways can 6 green toys and 6 red toys be arranged, such that 2 particular red toys are never together where as 2 particular green toys are always together?
A :
11!*2!
B :
9!*90
C :
4*10!
D :
18*10!
Q. No. 26:A teacher of 6 students takes 2 of his students at a time to a zoo as often as he can, without taking the same pair of children together more than once. How many times does the teacher go to the zoo?
A :
10
B :
12
C :
15
D :
20
Q. No. 27:Find the number of ways in which the letters of the word "METHODS" can be arranged, so that M always comes before S.
A :
360
B :
4820
C :
5020
D :
2520
Q. No. 28:There are five comics numbered from 1 to 5. In how many ways can they be arranged, so that part-1 and part-3 are never together?
A :
48
B :
72
C :
120
D :
210
Q. No. 29:The number of ways which a mixed double tennis game can be arranged amongst 9 married couples if no husband and wife play in the same is:
A :
1514
B :
1512
C :
3024
D :
3028
Q. No. 30:While packing for a business trip Mr. Debashis has packed 3 pairs of shoes, 4 pants, 3 half-pants,6 shirts, 3 sweater and 2 jackets. The outfit is defined as consisting of a pair of shoes, a choice of “lower wear” (either a pant or a half-pant), a choice of “upper wear” (it could be a shirt or a sweater or both) and finally he may or may not choose to wear a jacket. How many different outfits are possible?
A :
567
B :
1821
C :
743
D :
1701
Permutation and Computation
Easy
Moderate
Difficult