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How many ways can be letters { 5.a. 4.b, 1.c} be arranged so that all letters of same kind are in a single block

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Number of ways of selecting 3 different letters

=3C_3 = 1

Number of ways to select 1 similar and 2 different letter:

=2C_1\times 2C_2 = 2

Number of ways of selecting 1 similar + 1 more similar letter and 1 different letter:

=2C_2\times 1C_1 = 1

Number of ways to select 2 similar and 1 different letter:

=2C_2\times 2C_1 = 2

ways of selecting 3 similar letters:

= 1

total ways:  =1+2+1+2+1 =7

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Question ID: mtid-5-stid-8-sqid-3784-qpid-2483