1.

There are 3 books of mathematics, 4 books of Physics and 5 on English. How many different collection can be made such that each collection consist of :

Answer» M=3,P=4,E=5
a)`3C_1*4C_1*5C_1=60`
3)`3C_0+3C_1+..3C_3=1+3+3+1=8`
`8(4C_0+4C_1+4C_2+4C_3+4C_4)`
`8*16=144`
Total=`128(5C_1+5C_2+5C_3+5C_4+5C_5)`
`=128(5+10+10+5+1)`=3468
2)`M=3C_1+3C_2+3C_3=3+3+1=7`
`P=4C_1+4C_2+4C_3+4CC_4=4+6+4+1=15`
`E=31`
Ways=31*15*7=3255


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