Question

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

• A. $1972$
• B. $1952$
• C. $1981$
• D. $1947$

Answer 1

The correct option is A $1972$

No. of ways ${=}^{11}{C}_3{+}^{11}{C}_4{+}^{11}{C}_5{+}^{11}{C}_6{+}^{11}{C}_7{+}^{11}{C}_8{+}^{11}{C}_9{+}^{11}{C}_{10}{+}^{11}{C}_{11}$

$\Rightarrow 165+330+462+462+330+165+55+11+1$

$\Rightarrow 1981$