how many different words can be formed with the letter of the word CAPTAIN which begin with A and end with A
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Answer :
2520, 1800
Solution :
The given word 'CAPTAIN' has 7 letters, out of which there are 2 A's and the rest are all different. <br> Number of their arrangements
<br> Let us assume CT as 1 letter. <br> Then CT + APAIN has 6 letters, out of which there are 2 A's and the rest are all distinct. <br> Number of their arrangements
<br> Also, CT can be arranged among themselves in 2! = 2 ways. <br> Number of arrangements in which C and T are together
<br> Number of arrangements in which C and T are never together
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