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Write the set of the letter of the word ...

Write the set of the letter of the word 'ALLAGABAD'. Also find the number of subsets of this set.

Text Solution

Verified by Experts

There are 5 different letters in the word ALLAHABAD i.e., A,L,H,B,D, then set is {A, B, D, H, L}, then number of subsets = `2^(5) = 32` and all subsets are
`phi, {A},{B},{D},{H},{L},{A,B},{A,D},{A,H},{A,L},{B,D}`,
`{B,H},{B,L},{D,H},{D,L},{H,L},{A,B,D},{A,B,H}`,
`{A,B,L},{A,D,H},{A,D,L},{A,H,L},{B,D,H},{B,D,L}`
`{B,H,L},{D,H,L},{A,B,D,H},{A,B,D,L},{B,D,H,L}`
`{A,D,H,L},{A,B,H,L},{A,B,D,H,L}`
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