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6.Permutation and Combination
easy
$6$ ટપાલો અને $3$ ટપાલ-પેટીઓ છે. તો આ ટપાલો કેટલી રીતે ટપાલ પેટીમાં નાંખી શકાય ?
A
$6^3$
B
$3^6$
C
$^6C_3$
D
$^6P_3$
Solution
There are $6$ letters and $3$ post boxes
Lets consider letter $1,2,3,4,5,6$ as $L1, L2, L3, L4, L5, L6$ respectively.
Also post boxes $1,2,3$ as $P 1, P 2, P 3$ respectively
Now $L1$ could be placed in any of $P 1, P 2,P 3$. Thus, there are $3$ ways to post $L1$
Hence, there are $3 \times 3 \times 3 \times 3 \times 3 \times 3=3^6$ ways to post $6$ letters in $3$ post boxes.
Standard 11
Mathematics
