A bouquet from $11$ different flowers is to be made so that it contains not less then three flowers . Then the number of the different ways of selecting flowers to from the bouquet

1972

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1952

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1981

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1947

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Solution

The correct option is A $1972$
No. of ways $=^{11} C_{3} +^{11} C_{4} +^{11} C_{5} +^{11} C_{6} +^{11} C_{7} +^{11} C_{8} +^{11} C_{9} +^{11} C_{10} +^{11} C_{11}$
$\Rightarrow 165 + 330 + 462 + 462 + 330 + 165 + 55 + 11 + 1$
$\Rightarrow 1981$

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A bouquet from 11 different flowers is to be made so that it contains not less then three flowers . Then the number of the different ways of selecting flowers to from the bouquet

The correct option is A 1972No. of ways =11C3+11C4+11C5+11C6+11C7+11C8+11C9+11C10+11C11⇒165+330+462+462+330+165+55+11+1⇒1981

A bouquet from $11$ different flowers is to be made so that it contains not less then three flowers . Then the number of the different ways of selecting flowers to from the bouquet

The correct option is A $1972$
No. of ways $=^{11} C_{3} +^{11} C_{4} +^{11} C_{5} +^{11} C_{6} +^{11} C_{7} +^{11} C_{8} +^{11} C_{9} +^{11} C_{10} +^{11} C_{11}$
$\Rightarrow 165 + 330 + 462 + 462 + 330 + 165 + 55 + 11 + 1$
$\Rightarrow 1981$