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6.Permutation and Combination
easy
$'CALCUTTA'$ શબ્દના અક્ષરોની ગોઠવણીની સંખ્યા કેટલી થાય ?
A
$2520$
B
$5040$
C
$10,080$
D
$40,320$
Solution
Given word is $CALCUTTA$
No of letters $8$
No of $C's 2$
No of $A's 2$
No of $T's 2$
Total no .of possible arrangements is given by
$\frac{8 !}{2 ! 2 ! 2 !}=5040$
Standard 11
Mathematics