The number of new words that can be formed by rearranging the letters of the word 'ALIVE' is -.
A). 24
B). 23
C). 119
D). 120
A delegation of 5 members has to be formed from 3 ladies and 5 gentlemen. In how many ways the delegation can be formed, if 2 particular ladies are always included in the delegation?
A). 20
B). 54
C). 42
D). 60
The number of sequences in which 7 players can throw a ball, so that the youngest player may not be the last is -.
A). 4000
B). 2160
C). 4320
D). 5300
In how many ways ca live boys and three girls sit in a row such that all boys sit together?
A). 4800
B). 5760
C). 2880
D). 15000
A question paper consists of five problems, each problem having three internal choices. In how many ways can a candidate attempt one or more problems?
A). 63
B). 511
C). 1023
D). 15