Step by step :

step 1

Address the formula, input parameters and values

Formula:

nPr =n!/(n1! n2! . . . nk!)

Input Parameters & Values:

Total number of alphabets (n) & subsets (n1, n2, . . nk) in the word

"PAGI"

• n = 4
• Subsets : P = 1; A = 1; G = 1; I = 1;
• n1(P) = 1, n2(A) = 1, n3(G) = 1, n4(I) = 1

step 2

follow the enter parameter values inside the nPr components

=4!/(1! 1! 1! 1! )

= 1 x 2 x 3 x 4/{(1) (1) (1) (1)}

= 241

= 24

In 24 distinct ways, the letters of word "PAGI" can be arranged.

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• PAGI APGI GPAI PGAI AGPI GAPI IAPG AIPG PIAG IPAG APIG PAIG PGIA GPIA IPGA PIGA GIPA IGPA IGAP GIAP AIGP IAGP GAIP AGIP