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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 : |
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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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