Question

how any number of ways selecting 4 digit from the words EXAMINATION​

Answer 1

Answer:

there are many ways u can select the 4 digits from this word two words from these are EXAM and NATION

Step-by-step explanation:

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Answer 2

EXAMINATION has 11 letters, and in which 'A', 'I' and 'N', all occur twice. 11C4, would have been fine if all letters were distinct.

So, we have E, X, M, T, O, (AA), (II), (NN). 8 distinct letters.

1. 4 letters selected, which are all distinct: 8C4 = 70

2. 2 letters alike, and 2 distinct (eg: AAEX) = 3C1 x 7C2 = 63

3. 2 letters alike, and 2 letters alike (eg: AAII) = 3C2 = 3

So answer is, 70 + 63 + 3 = 136.

The tricky part is getting the second one correct, ( 2 letters alike, and 2 distinct)