A Committee of 5 persons is to be formed from a group of 6 gentlemen and 4 ladies. In how many ways can this be done if the committee is to be included atleast one lady?
A). 123
B). 113
C). 246
D). 945
How many arrangements can be made out of the letters of the word COMMITTEE, taken all at a time, such that the four vowels do not come together?
A). 216
B). 45360
C). 1260
D). 43200
In a box, there are 5 black pens, 3 white pens and 4 red pens. In how many ways can 2 black pens, 2 white pens and 2 red pens can be chosen?
A). 180
B). 220
C). 240
D). 160
How many arrangements of the letters of the word ‘BENGALI’ can be made if the vowels are to occupy only odd places.
A). 720
B). 576
C). 567
D). 625
How many different four letter words can be formed (the words need not be meaningful using the letters of the word "MEDITERRANEAN" such that the first letter is E and the last letter is R?
A). 59
B). 56
C). 64
D). 55