Eight different letters of an alphabet are given. Words of four letters from these are formed. The number of such words with atleast one letter repeated is

Question

Eight different letters of an alphabet are given. Words of four letters from these are formed. The number of such words with atleast one letter repeated is (A) 8C4 - 8P4 (B) 84 - 8C4 (C) 84 - 8P4 (D) 8C4 - 8C4

Tardigrade Admin · Accepted Answer

Number of 4 letter words from 8 different letters with at least one letter is repeated =84- 8P4.

Q. Eight different letters of an alphabet are given. Words of four letters from these are formed. The number of such words with atleast one letter repeated is

$^{8} C_{4} -^{8} P_{4}$

$8^{4} -^{8} C_{4}$

$8^{4} -^{8} P_{4}$

$^{8} C_{4} -^{8} C_{4}$

Number of $4$ letter words from $8$ different letters with at least one letter is repeated $= 8^{4} -^{8} P_{4}$ .

Q. Eight different letters of an alphabet are given. Words of four letters from these are formed. The number of such words with atleast one letter repeated is

8C4​−8P4​

84−8C4​

84−8P4​

8C4​−8C4​

Number of 4 letter words from 8 different letters with at least one letter is repeated =84−8P4​.

$^{8} C_{4} -^{8} P_{4}$

$8^{4} -^{8} C_{4}$

$8^{4} -^{8} P_{4}$

$^{8} C_{4} -^{8} C_{4}$

Number of $4$ letter words from $8$ different letters with at least one letter is repeated $= 8^{4} -^{8} P_{4}$ .